Borza, Samuël; Klingenberg, Wilhelm Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry. (English) Zbl 07784787 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113421, 21 p. (2024). MSC: 53C17 58E10 53C22 PDFBibTeX XMLCite \textit{S. Borza} and \textit{W. Klingenberg}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113421, 21 p. (2024; Zbl 07784787) Full Text: DOI arXiv
Saffidine, R.; Bensalem, N. The regularization method for solving sub-Riemannian geodesic problems. (English) Zbl 07814856 Nonlinear Dyn. Syst. Theory 23, No. 3, 348- (2023). MSC: 53C22 93C10 70H05 49J15 PDFBibTeX XMLCite \textit{R. Saffidine} and \textit{N. Bensalem}, Nonlinear Dyn. Syst. Theory 23, No. 3, 348- (2023; Zbl 07814856) Full Text: Link
Cosserat, Oscar; Kotov, Alexei; Laurent-Gengoux, Camille; Ryvkin, Leonid; Salnikov, Vladimir On Dirac structures admitting a variational approach. (English) Zbl 07772345 Math. Mech. Complex Syst. 11, No. 1, 1-18 (2023). MSC: 37J06 70H45 37J39 37J51 53D17 70H30 PDFBibTeX XMLCite \textit{O. Cosserat} et al., Math. Mech. Complex Syst. 11, No. 1, 1--18 (2023; Zbl 07772345) Full Text: DOI arXiv
Sachkov, Yuri L.; Sachkova, Elena F. Sub-Lorentzian distance and spheres on the Heisenberg group. (English) Zbl 1526.53027 J. Dyn. Control Syst. 29, No. 3, 1129-1159 (2023). MSC: 53C17 53C50 PDFBibTeX XMLCite \textit{Y. L. Sachkov} and \textit{E. F. Sachkova}, J. Dyn. Control Syst. 29, No. 3, 1129--1159 (2023; Zbl 1526.53027) Full Text: DOI arXiv
Sachkov, Yu. L.; Sachkova, E. F. Abnormal trajectories in the sub-Riemannian \((2,3,5,8)\) problem. (English. Russian original) Zbl 1522.53019 Proc. Steklov Inst. Math. 321, 236-268 (2023); translation from Tr. Mat. Inst. Steklova 321, 252-285 (2023). MSC: 53C17 PDFBibTeX XMLCite \textit{Yu. L. Sachkov} and \textit{E. F. Sachkova}, Proc. Steklov Inst. Math. 321, 236--268 (2023; Zbl 1522.53019); translation from Tr. Mat. Inst. Steklova 321, 252--285 (2023) Full Text: DOI
Jóźwikowski, Michał New second-order optimality conditions in sub-Riemannian geometry. (English) Zbl 1527.53023 ESAIM, Control Optim. Calc. Var. 29, Paper No. 62, 34 p. (2023). Reviewer: Igor Bock (Bratislava) MSC: 53C17 53C22 49K15 PDFBibTeX XMLCite \textit{M. Jóźwikowski}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 62, 34 p. (2023; Zbl 1527.53023) Full Text: DOI arXiv
Bonnard, Bernard; Cots, Olivier; Wembe, Boris Zermelo navigation problems on surfaces of revolution and geometric optimal control. (English) Zbl 07734432 ESAIM, Control Optim. Calc. Var. 29, Paper No. 60, 34 p. (2023). MSC: 53A05 49K15 53C60 70H05 PDFBibTeX XMLCite \textit{B. Bonnard} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 60, 34 p. (2023; Zbl 07734432) Full Text: DOI
Podobryaev, Alexey Homogeneous geodesics in sub-Riemannian geometry. (English) Zbl 1514.53099 ESAIM, Control Optim. Calc. Var. 29, Paper No. 11, 17 p. (2023). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C30 53C17 35R03 53C22 PDFBibTeX XMLCite \textit{A. Podobryaev}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 11, 17 p. (2023; Zbl 1514.53099) Full Text: DOI arXiv
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi A stochastic model of grain boundary dynamics: a Fokker-Planck perspective. (English) Zbl 1524.74379 Math. Models Methods Appl. Sci. 32, No. 11, 2189-2236 (2022). MSC: 74N15 35R37 35Q84 35K15 93E03 53C21 49Q20 65M22 74N20 PDFBibTeX XMLCite \textit{Y. Epshteyn} et al., Math. Models Methods Appl. Sci. 32, No. 11, 2189--2236 (2022; Zbl 1524.74379) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst Minkowski geometry – some concepts and recent developments. (English) Zbl 1506.52001 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022). Reviewer: Günter F. Steinke (Christchurch) MSC: 52-02 46B20 52A20 51-02 51B20 53A04 53A05 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{H. Martini}, in: Surveys in geometry I. Cham: Springer. 49--95 (2022; Zbl 1506.52001) Full Text: DOI
Berestovskii, V. N.; Zubareva, I. A. Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions. (English. Russian original) Zbl 1501.53039 Sib. Math. J. 63, No. 4, 620-636 (2022); translation from Sib. Mat. Zh. 63, No. 4, 748-767 (2022). Reviewer: Gauree Shanker (Bathinda) MSC: 53C17 53C60 22E30 17B66 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{I. A. Zubareva}, Sib. Math. J. 63, No. 4, 620--636 (2022; Zbl 1501.53039); translation from Sib. Mat. Zh. 63, No. 4, 748--767 (2022) Full Text: DOI arXiv
Berele, Allan; Catoiu, Stefan The pentagonal pizza conjecture. (English) Zbl 1487.52012 Am. Math. Mon. 129, No. 5, 445-453 (2022). MSC: 52A38 51N20 52A10 53A04 PDFBibTeX XMLCite \textit{A. Berele} and \textit{S. Catoiu}, Am. Math. Mon. 129, No. 5, 445--453 (2022; Zbl 1487.52012) Full Text: DOI
Sachkov, Yuri L. Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions. (English. Russian original) Zbl 1502.53045 Russ. Math. Surv. 77, No. 1, 99-163 (2022); translation from Usp. Mat. Nauk 77, No. 1, 109-176 (2022). Reviewer: Nathaniel Eldredge (Storrs) MSC: 53C17 22E25 49K15 53C22 PDFBibTeX XMLCite \textit{Y. L. Sachkov}, Russ. Math. Surv. 77, No. 1, 99--163 (2022; Zbl 1502.53045); translation from Usp. Mat. Nauk 77, No. 1, 109--176 (2022) Full Text: DOI
Rochera, David Algebraic equations for constant width curves and Zindler curves. (English) Zbl 1485.53007 J. Symb. Comput. 113, 139-147 (2022). MSC: 53A04 14H50 14Q05 PDFBibTeX XMLCite \textit{D. Rochera}, J. Symb. Comput. 113, 139--147 (2022; Zbl 1485.53007) Full Text: DOI
Li, Chengbo Curvatures and hyperbolic flows for natural mechanical systems in Finsler geometry. (English) Zbl 1492.53046 J. Dyn. Control Syst. 28, No. 2, 249-266 (2022). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 70G45 49J15 34C10 PDFBibTeX XMLCite \textit{C. Li}, J. Dyn. Control Syst. 28, No. 2, 249--266 (2022; Zbl 1492.53046) Full Text: DOI arXiv
Rodrigues, Hugo Murilo; Fukuoka, Ryuichi Geodesic fields for Pontryagin type \(C^0\)-Finsler manifolds. (English) Zbl 1485.49027 ESAIM, Control Optim. Calc. Var. 28, Paper No. 19, 41 p. (2022). MSC: 49K15 53B40 53C22 49K27 58A05 PDFBibTeX XMLCite \textit{H. M. Rodrigues} and \textit{R. Fukuoka}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 19, 41 p. (2022; Zbl 1485.49027) Full Text: DOI arXiv
Ardentov, Andrei; Hakavuori, Eero Cut time in the sub-Riemannian problem on the Cartan group. (English) Zbl 1507.53028 ESAIM, Control Optim. Calc. Var. 28, Paper No. 12, 19 p. (2022). Reviewer: Jeremy Tyson (Urbana) MSC: 53C17 53C22 22E25 PDFBibTeX XMLCite \textit{A. Ardentov} and \textit{E. Hakavuori}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 12, 19 p. (2022; Zbl 1507.53028) Full Text: DOI arXiv
Agrachev, Andrei; Beschastnyi, Ivan Jacobi fields in optimal control: Morse and Maslov indices. (English) Zbl 1476.58011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112608, 47 p. (2022). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E05 58J30 49K15 53D12 PDFBibTeX XMLCite \textit{A. Agrachev} and \textit{I. Beschastnyi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112608, 47 p. (2022; Zbl 1476.58011) Full Text: DOI arXiv
Podobryaev, A. V. Construction of Maxwell points in left-invariant optimal control problems. (English. Russian original) Zbl 1481.49023 Proc. Steklov Inst. Math. 315, 190-197 (2021); translation from Tr. Mat. Inst. Steklova 315, 202-210 (2021). MSC: 49K15 53C17 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, Proc. Steklov Inst. Math. 315, 190--197 (2021; Zbl 1481.49023); translation from Tr. Mat. Inst. Steklova 315, 202--210 (2021) Full Text: DOI
Sachkov, Yu. L. Homogeneous sub-Riemannian geodesics on a group of motions of the plane. (English. Russian original) Zbl 1489.53044 Differ. Equ. 57, No. 11, 1550-1554 (2021); translation from Differ. Uravn. 57, No. 11, 1568-1572 (2021). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 53C30 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, Differ. Equ. 57, No. 11, 1550--1554 (2021; Zbl 1489.53044); translation from Differ. Uravn. 57, No. 11, 1568--1572 (2021) Full Text: DOI arXiv
Aliane, Mohamed; Bentobache, Mohand; Moussouni, Nacima; Marthon, Philippe Direct method to solve linear-quadratic optimal control problems. (English) Zbl 1480.49035 Numer. Algebra Control Optim. 11, No. 4, 645-663 (2021). MSC: 49N10 53C35 90C20 PDFBibTeX XMLCite \textit{M. Aliane} et al., Numer. Algebra Control Optim. 11, No. 4, 645--663 (2021; Zbl 1480.49035) Full Text: DOI
Villanueva, Mario Eduardo; Jones, Colin N.; Houska, Boris Towards global optimal control via Koopman lifts. (English) Zbl 1478.49015 Automatica 132, Article ID 109610, 11 p. (2021). MSC: 49K15 49N35 93B52 93B28 53D05 PDFBibTeX XMLCite \textit{M. E. Villanueva} et al., Automatica 132, Article ID 109610, 11 p. (2021; Zbl 1478.49015) Full Text: DOI arXiv
Sachkov, Yu. L. Conjugate time in the sub-Riemannian problem on the Cartan group. (English) Zbl 1484.53063 J. Dyn. Control Syst. 27, No. 4, 709-751 (2021). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 93C15 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, J. Dyn. Control Syst. 27, No. 4, 709--751 (2021; Zbl 1484.53063) Full Text: DOI arXiv
Podobryaev, A. V. Casimir functions of free nilpotent Lie groups of steps 3 and 4. (English) Zbl 1504.22008 J. Dyn. Control Syst. 27, No. 4, 625-644 (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E25 17B08 17B30 93B27 53C17 35R03 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, J. Dyn. Control Syst. 27, No. 4, 625--644 (2021; Zbl 1504.22008) Full Text: DOI arXiv
Hildebrand, Roland Optimal inequalities between distances in convex projective domains. (English) Zbl 1515.53013 J. Geom. Anal. 31, No. 11, 11357-11385 (2021). MSC: 53A15 53A20 52A38 58E10 PDFBibTeX XMLCite \textit{R. Hildebrand}, J. Geom. Anal. 31, No. 11, 11357--11385 (2021; Zbl 1515.53013) Full Text: DOI arXiv HAL
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Duality of gauges and symplectic forms in vector spaces. (English) Zbl 1482.52010 Collect. Math. 72, No. 3, 501-525 (2021). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 52A21 52A20 52A40 46B20 26B25 37J11 46B04 46B99 53D05 53D99 PDFBibTeX XMLCite \textit{V. Balestro} et al., Collect. Math. 72, No. 3, 501--525 (2021; Zbl 1482.52010) Full Text: DOI arXiv
Sachkov, Yu. L.; Sachkova, E. F. An abnormal set for the \((2,3,5,8)\)-distribution. (English. Russian original) Zbl 1470.53032 Math. Notes 109, No. 2, 317-319 (2021); translation from Mat. Zametki 109, No. 2, 318-320 (2021). MSC: 53C17 49K15 70G10 22E25 49Q20 PDFBibTeX XMLCite \textit{Yu. L. Sachkov} and \textit{E. F. Sachkova}, Math. Notes 109, No. 2, 317--319 (2021; Zbl 1470.53032); translation from Mat. Zametki 109, No. 2, 318--320 (2021) Full Text: DOI
Agrachev, Andrei A.; Boarotto, Francesco Normal forms for the endpoint map near nice singular curves for rank-two distributions. (English) Zbl 1470.53029 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S30, 32 p. (2021). MSC: 53C17 58K50 58K05 PDFBibTeX XMLCite \textit{A. A. Agrachev} and \textit{F. Boarotto}, ESAIM, Control Optim. Calc. Var. 27, Paper No. S30, 32 p. (2021; Zbl 1470.53029) Full Text: DOI arXiv
Ardentov, A. A.; Lokutsievskiy, L. V.; Sachkov, Yu. L. Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry. (English) Zbl 1477.53047 ESAIM, Control Optim. Calc. Var. 27, Paper No. 32, 52 p. (2021). MSC: 53C17 53C22 53B40 49Q99 49J99 PDFBibTeX XMLCite \textit{A. A. Ardentov} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 32, 52 p. (2021; Zbl 1477.53047) Full Text: DOI
Aldea, Nicoleta; Kopacz, Piotr Time-extremal navigation in arbitrary winds on conformally flat Riemannian manifolds. (English) Zbl 1482.53024 J. Optim. Theory Appl. 189, No. 1, 19-45 (2021). MSC: 53B20 53B50 49J15 70G75 70H03 PDFBibTeX XMLCite \textit{N. Aldea} and \textit{P. Kopacz}, J. Optim. Theory Appl. 189, No. 1, 19--45 (2021; Zbl 1482.53024) Full Text: DOI
Berestovskii, V. N.; Zubareva, I. A. Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. (English. Russian original) Zbl 1472.53085 Sib. Math. J. 62, No. 3, 383-399 (2021); translation from Sib. Mat. Zh. 62, No. 3, 383-399 (2021). MSC: 53C60 53C17 53C30 22E99 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{I. A. Zubareva}, Sib. Math. J. 62, No. 3, 383--399 (2021; Zbl 1472.53085); translation from Sib. Mat. Zh. 62, No. 3, 383--399 (2021) Full Text: DOI arXiv
Aldea, Nicoleta; Kopacz, Piotr Generalized loxodromes with application to time-optimal navigation in arbitrary wind. (English) Zbl 1458.53005 J. Franklin Inst. 358, No. 1, 776-799 (2021). Reviewer: Ergin Bayram (Samsun) MSC: 53A04 53B25 93B99 PDFBibTeX XMLCite \textit{N. Aldea} and \textit{P. Kopacz}, J. Franklin Inst. 358, No. 1, 776--799 (2021; Zbl 1458.53005) Full Text: DOI
Ardentov, A. A.; Lokutsievskiy, L. V.; Sachkov, Yu. L. Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry. (English. Russian original) Zbl 1481.53053 Dokl. Math. 102, No. 2, 427-432 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 86-92 (2020). MSC: 53C22 53C17 74B99 49J99 58E25 PDFBibTeX XMLCite \textit{A. A. Ardentov} et al., Dokl. Math. 102, No. 2, 427--432 (2020; Zbl 1481.53053); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 86--92 (2020) Full Text: DOI arXiv
Berestovskiĭ, Valeriĭ Nikolaevich; Zubareva, Irina Aleksandrovna PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. (English) Zbl 1481.53042 Chebyshevskiĭ Sb. 21, No. 2(74), 43-64 (2020). Reviewer: Antonio Masiello (Bari) MSC: 53C17 53C22 53C60 PDFBibTeX XMLCite \textit{V. N. Berestovskiĭ} and \textit{I. A. Zubareva}, Chebyshevskiĭ Sb. 21, No. 2(74), 43--64 (2020; Zbl 1481.53042) Full Text: arXiv MNR
Sachkov, Yu. L.; Sachkova, E. F. The structure of abnormal extremals in a sub-Riemannian problem with growth vector \((2, 3, 5, 8)\). (English. Russian original) Zbl 1467.53035 Sb. Math. 211, No. 10, 1460-1485 (2020); translation from Mat. Sb. 211, No. 10, 112-138 (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 22E25 49K15 PDFBibTeX XMLCite \textit{Yu. L. Sachkov} and \textit{E. F. Sachkova}, Sb. Math. 211, No. 10, 1460--1485 (2020; Zbl 1467.53035); translation from Mat. Sb. 211, No. 10, 112--138 (2020) Full Text: DOI
Lewis, Andrew D. Nonholonomic and constrained variational mechanics. (English) Zbl 1476.70057 J. Geom. Mech. 12, No. 2, 165-308 (2020); erratum ibid. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 2, 165--308 (2020; Zbl 1476.70057) Full Text: DOI DOI
Sachkov, Yu. L. Conjugate points in the generalized Dido problem. (English. Russian original) Zbl 1462.53019 Math. Notes 108, No. 5, 761-763 (2020); translation from Mat. Zametki 108, No. 5, 796-798 (2020). MSC: 53C17 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, Math. Notes 108, No. 5, 761--763 (2020; Zbl 1462.53019); translation from Mat. Zametki 108, No. 5, 796--798 (2020) Full Text: DOI
Berestovskii, V. N.; Zubareva, I. A. Extremals of a left-invariant sub-Finsler metric on the Engel group. (English. Russian original) Zbl 1455.53087 Sib. Math. J. 61, No. 4, 575-588 (2020); translation from Sib. Mat. Zh. 61, No. 4, 735-751 (2020). Reviewer: Nathaniel Eldredge (Storrs) MSC: 53C60 53C17 35F21 53C22 58E10 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{I. A. Zubareva}, Sib. Math. J. 61, No. 4, 575--588 (2020; Zbl 1455.53087); translation from Sib. Mat. Zh. 61, No. 4, 735--751 (2020) Full Text: DOI arXiv
Boarotto, Francesco; Monti, Roberto; Palmurella, Francesco Third order open mapping theorems and applications to the end-point map. (English) Zbl 1447.53031 Nonlinearity 33, No. 9, 4539-4567 (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 46T20 49K15 PDFBibTeX XMLCite \textit{F. Boarotto} et al., Nonlinearity 33, No. 9, 4539--4567 (2020; Zbl 1447.53031) Full Text: DOI arXiv
Sachkov, Yuriĭ Optimal bang-bang trajectories in sub-Finsler problems on the Engel group. (English) Zbl 1459.53035 Russ. J. Nonlinear Dyn. 16, No. 2, 355-367 (2020). MSC: 53B40 49K30 53C17 PDFBibTeX XMLCite \textit{Y. Sachkov}, Russ. J. Nonlinear Dyn. 16, No. 2, 355--367 (2020; Zbl 1459.53035) Full Text: DOI MNR Link
Arguillère, Sylvain Sub-Riemannian geometry and geodesics in Banach manifolds. (English) Zbl 1446.49021 J. Geom. Anal. 30, No. 3, 2897-2938 (2020). Reviewer: A. Omrane (Cayenne) MSC: 49K27 49K15 53C17 53C22 53D25 37K06 PDFBibTeX XMLCite \textit{S. Arguillère}, J. Geom. Anal. 30, No. 3, 2897--2938 (2020; Zbl 1446.49021) Full Text: DOI arXiv
Podobryaev, Alekseĭ V. Symmetries in left-invariant optimal control problems. (English. Russian original) Zbl 1443.49011 Sb. Math. 211, No. 2, 275-290 (2020); translation from Mat. Sb. 211, No. 2, 125-140 (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 49J21 22E30 53C17 53D20 49K15 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, Sb. Math. 211, No. 2, 275--290 (2020; Zbl 1443.49011); translation from Mat. Sb. 211, No. 2, 125--140 (2020) Full Text: DOI arXiv
Berele, Allan; Catoiu, Stefan The Fermat-Torricelli theorem in convex geometry. (English) Zbl 1437.52001 J. Geom. 111, No. 2, Paper No. 22, 21 p. (2020). MSC: 52A10 52A30 52A38 53A04 PDFBibTeX XMLCite \textit{A. Berele} and \textit{S. Catoiu}, J. Geom. 111, No. 2, Paper No. 22, 21 p. (2020; Zbl 1437.52001) Full Text: DOI
Podobryaev, Alekseĭ V. Symmetric extremal trajectories in left-invariant optimal control problems. (English) Zbl 1440.49026 Russ. J. Nonlinear Dyn. 15, No. 4, 569-575 (2019). MSC: 49K15 49J15 53C17 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, Russ. J. Nonlinear Dyn. 15, No. 4, 569--575 (2019; Zbl 1440.49026) Full Text: DOI MNR
Barbero Liñán, María; Cendra, Hernán; Toraño, Eduardo García; Martín de Diego, David Morse families and Dirac systems. (English) Zbl 1439.37060 J. Geom. Mech. 11, No. 4, 487-510 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J39 37J06 37J35 53D12 70H45 PDFBibTeX XMLCite \textit{M. Barbero Liñán} et al., J. Geom. Mech. 11, No. 4, 487--510 (2019; Zbl 1439.37060) Full Text: DOI arXiv
Saleh, Wedad Some properties of geodesic strongly E-b-vex functions. (English) Zbl 1438.52008 Int. J. Anal. Appl. 17, No. 3, 388-395 (2019). MSC: 52A20 52A41 53C20 53C22 PDFBibTeX XMLCite \textit{W. Saleh}, Int. J. Anal. Appl. 17, No. 3, 388--395 (2019; Zbl 1438.52008) Full Text: Link
Kopacz, Piotr On generalization of Zermelo navigation problem on Riemannian manifolds. (English) Zbl 1425.53020 Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950058, 19 p. (2019). Reviewer: V. K. Chaubey (Gorakhpur) MSC: 53B20 53C21 53C22 53C60 49J15 49J53 76B10 PDFBibTeX XMLCite \textit{P. Kopacz}, Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950058, 19 p. (2019; Zbl 1425.53020) Full Text: DOI arXiv
Ardentov, A. A.; Le Donne, E.; Sachkov, Yu. L. A sub-Finsler problem on the Cartan group. (English. Russian original) Zbl 1428.49022 Proc. Steklov Inst. Math. 304, 42-59 (2019); translation from Tr. Mat. Inst. Steklova 304, 49-67 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 49K15 53C17 22E25 53B40 PDFBibTeX XMLCite \textit{A. A. Ardentov} et al., Proc. Steklov Inst. Math. 304, 42--59 (2019; Zbl 1428.49022); translation from Tr. Mat. Inst. Steklova 304, 49--67 (2019) Full Text: DOI arXiv
Ardentov, A. A.; Sachkov, Yu. L. Sub-Finsler structures on the Engel group. (English. Russian original) Zbl 1419.49053 Dokl. Math. 99, No. 2, 171-174 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 4, 395-398 (2019). MSC: 49Q20 49J30 53C17 PDFBibTeX XMLCite \textit{A. A. Ardentov} and \textit{Yu. L. Sachkov}, Dokl. Math. 99, No. 2, 171--174 (2019; Zbl 1419.49053); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 4, 395--398 (2019) Full Text: DOI
Agrachev, Andrei A.; Barilari, Davide; Paoli, Elisa Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics. (Distorsion géodésique du volume et courbure de Ricci pour des dynamiques hamiltoniennes.) (English. French summary) Zbl 1421.53037 Ann. Inst. Fourier 69, No. 3, 1187-1228 (2019). Reviewer: Léonard Todjihounde (Abomey-Calavi) MSC: 53C17 53B21 53B15 PDFBibTeX XMLCite \textit{A. A. Agrachev} et al., Ann. Inst. Fourier 69, No. 3, 1187--1228 (2019; Zbl 1421.53037) Full Text: DOI arXiv
Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L. Sub-Finsler geodesics on the Cartan group. (English) Zbl 1412.49084 Regul. Chaotic Dyn. 24, No. 1, 36-60 (2019). MSC: 49Q20 49J30 49K15 53C17 53C22 PDFBibTeX XMLCite \textit{A. A. Ardentov} et al., Regul. Chaotic Dyn. 24, No. 1, 36--60 (2019; Zbl 1412.49084) Full Text: DOI arXiv
Bonnard, Bernard; Chyba, Monique; Rouot, Jéremy; Takagi, Daisuke Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot. (English) Zbl 1460.53036 Pac. J. Math. Ind. 10, Paper No. 2, 27 p. (2018). MSC: 53C17 76Z10 93B27 37J06 49K21 49S05 53C80 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Pac. J. Math. Ind. 10, Paper No. 2, 27 p. (2018; Zbl 1460.53036) Full Text: DOI
Sachkov, Yuriĭ L. Optimal bang-bang trajectories in sub-Finsler problem on the Cartan group. (English) Zbl 1421.49022 Russ. J. Nonlinear Dyn. 14, No. 4, 583-593 (2018). MSC: 49K30 53C17 PDFBibTeX XMLCite \textit{Y. L. Sachkov}, Russ. J. Nonlinear Dyn. 14, No. 4, 583--593 (2018; Zbl 1421.49022)
Jóźwikowski, Michał; Respondek, Witold Why are normal sub-Riemannian extremals locally minimizing? (English) Zbl 1396.49041 Differ. Geom. Appl. 60, 174-189 (2018). MSC: 49Q10 49K15 53C17 58E10 PDFBibTeX XMLCite \textit{M. Jóźwikowski} and \textit{W. Respondek}, Differ. Geom. Appl. 60, 174--189 (2018; Zbl 1396.49041) Full Text: DOI arXiv
Podobryaev, A. V.; Sachkov, Yu. L. Symmetric Riemannian problem on the group of proper isometries of hyperbolic plane. (English) Zbl 1395.53061 J. Dyn. Control Syst. 24, No. 3, 391-423 (2018). MSC: 53C30 53C20 53C17 53C22 49J15 PDFBibTeX XMLCite \textit{A. V. Podobryaev} and \textit{Yu. L. Sachkov}, J. Dyn. Control Syst. 24, No. 3, 391--423 (2018; Zbl 1395.53061) Full Text: DOI arXiv
Agapov, S. V.; Borchashvili, M. R. On a certain sub-Riemannian geodesic flow on the Heisenberg group. (English. Russian original) Zbl 1411.53047 Sib. Math. J. 58, No. 6, 943-951 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1218-1227 (2017). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53C44 53C17 22E25 PDFBibTeX XMLCite \textit{S. V. Agapov} and \textit{M. R. Borchashvili}, Sib. Math. J. 58, No. 6, 943--951 (2017; Zbl 1411.53047); translation from Sib. Mat. Zh. 58, No. 6, 1218--1227 (2017) Full Text: DOI
Berestovskii, Valerii N. Curvatures of homogeneous sub-Riemannian manifolds. (English) Zbl 1383.53025 Eur. J. Math. 3, No. 4, 788-807 (2017). MSC: 53C17 58B20 53C21 53D05 53D10 53C30 PDFBibTeX XMLCite \textit{V. N. Berestovskii}, Eur. J. Math. 3, No. 4, 788--807 (2017; Zbl 1383.53025) Full Text: DOI arXiv
Kruglikov, Boris S.; Vollmer, Andreas; Lukes-Gerakopoulos, Georgios On integrability of certain rank 2 sub-Riemannian structures. (English) Zbl 1390.37096 Regul. Chaotic Dyn. 22, No. 5, 502-519 (2017). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 37J15 37J30 37J60 70G45 35N10 53C17 PDFBibTeX XMLCite \textit{B. S. Kruglikov} et al., Regul. Chaotic Dyn. 22, No. 5, 502--519 (2017; Zbl 1390.37096) Full Text: DOI arXiv
Munive, Isidro H. Sub-Riemannian curvature of Carnot groups with rank-two distributions. (English) Zbl 1381.53056 J. Dyn. Control Syst. 23, No. 4, 779-814 (2017). Reviewer: Vyron Vellis (Storrs) MSC: 53C17 58B20 PDFBibTeX XMLCite \textit{I. H. Munive}, J. Dyn. Control Syst. 23, No. 4, 779--814 (2017; Zbl 1381.53056) Full Text: DOI arXiv
Arguillère, Sylvain; Trélat, Emmanuel Sub-Riemannian structures on groups of diffeomorphisms. (English) Zbl 1382.58008 J. Inst. Math. Jussieu 16, No. 4, 745-785 (2017). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 53C17 37K65 58D25 58D30 PDFBibTeX XMLCite \textit{S. Arguillère} and \textit{E. Trélat}, J. Inst. Math. Jussieu 16, No. 4, 745--785 (2017; Zbl 1382.58008) Full Text: DOI arXiv
Sachkov, Yu. L.; Sachkova, Elena F. Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector \((2, 3, 5, 8)\). (English. Russian original) Zbl 1369.49068 Differ. Equ. 53, No. 3, 352-365 (2017); translation from Differ. Uravn. 53, No. 3, 362-374 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 49N35 53C17 22E25 PDFBibTeX XMLCite \textit{Yu. L. Sachkov} and \textit{E. F. Sachkova}, Differ. Equ. 53, No. 3, 352--365 (2017; Zbl 1369.49068); translation from Differ. Uravn. 53, No. 3, 362--374 (2017) Full Text: DOI
Agrachev, Andrei; Barilari, Davide; Rizzi, Luca Sub-Riemannian curvature in contact geometry. (English) Zbl 1376.53059 J. Geom. Anal. 27, No. 1, 366-408 (2017). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 53C17 53C21 53C22 49N10 53D10 PDFBibTeX XMLCite \textit{A. Agrachev} et al., J. Geom. Anal. 27, No. 1, 366--408 (2017; Zbl 1376.53059) Full Text: DOI arXiv
Mashtakov, Alexey; Ardentov, Andrei; Sachkov, Yuri L. Relation between Euler’s elasticae and sub-Riemannian geodesics on \(\mathrm{SE}(2)\). (English) Zbl 1368.58007 Regul. Chaotic Dyn. 21, No. 7-8, 832-839 (2016). MSC: 58E10 53C22 53C17 PDFBibTeX XMLCite \textit{A. Mashtakov} et al., Regul. Chaotic Dyn. 21, No. 7--8, 832--839 (2016; Zbl 1368.58007) Full Text: DOI arXiv
Ardentov, Andrey A. Controlling of a mobile robot with a trailer and its nilpotent approximation. (English) Zbl 1402.70009 Regul. Chaotic Dyn. 21, No. 7-8, 775-791 (2016). MSC: 70E60 93B27 93C85 22E25 53A17 58E25 PDFBibTeX XMLCite \textit{A. A. Ardentov}, Regul. Chaotic Dyn. 21, No. 7--8, 775--791 (2016; Zbl 1402.70009) Full Text: DOI arXiv
Saleh, Wedad; Kiliçman, Adem On convexity in product of Riemannian manifolds. (English) Zbl 1360.52002 Eur. J. Pure Appl. Math. 9, No. 1, 57-63 (2016). MSC: 52A20 52A30 53B20 PDFBibTeX XMLCite \textit{W. Saleh} and \textit{A. Kiliçman}, Eur. J. Pure Appl. Math. 9, No. 1, 57--63 (2016; Zbl 1360.52002) Full Text: Link
Ayala, Victor; Jouan, Philippe Almost-Riemannian geometry on Lie groups. (English) Zbl 1359.53012 SIAM J. Control Optim. 54, No. 5, 2919-2947 (2016). Reviewer: Hubert Gollek (Berlin) MSC: 53B20 53C17 34H05 93B27 22E70 53C30 PDFBibTeX XMLCite \textit{V. Ayala} and \textit{P. Jouan}, SIAM J. Control Optim. 54, No. 5, 2919--2947 (2016; Zbl 1359.53012) Full Text: DOI arXiv
Podobryaev, A. V.; Sachkov, Yu. L. Cut locus of a left invariant Riemannian metric on \(\mathrm{SO}_3\) in the axisymmetric case. (English) Zbl 1352.53044 J. Geom. Phys. 110, 436-453 (2016). MSC: 53C30 53C20 53C17 53C22 49J15 PDFBibTeX XMLCite \textit{A. V. Podobryaev} and \textit{Yu. L. Sachkov}, J. Geom. Phys. 110, 436--453 (2016; Zbl 1352.53044) Full Text: DOI arXiv
Duits, R.; Ghosh, A.; Dela Haije, T. C. J.; Mashtakov, A. On sub-Riemannian geodesics in \(\mathrm{SE}(3)\) whose spatial projections do not have cusps. (English) Zbl 1364.53033 J. Dyn. Control Syst. 22, No. 4, 771-805 (2016). Reviewer: Vyron Vellis (Storrs) MSC: 53C17 22E30 49J15 70H06 PDFBibTeX XMLCite \textit{R. Duits} et al., J. Dyn. Control Syst. 22, No. 4, 771--805 (2016; Zbl 1364.53033) Full Text: DOI arXiv
Kevei, Péter; Vígh, Viktor On the diminishing process of Bálint Tóth. (English) Zbl 1361.60014 Trans. Am. Math. Soc. 368, No. 12, 8823-8848 (2016). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 52A22 53C65 60E15 PDFBibTeX XMLCite \textit{P. Kevei} and \textit{V. Vígh}, Trans. Am. Math. Soc. 368, No. 12, 8823--8848 (2016; Zbl 1361.60014) Full Text: DOI arXiv Link
Agapov, S. V. On the sub-Riemannian geodesic flow for the Goursat distribution. (English. Russian original) Zbl 1356.53036 Sib. Math. J. 57, No. 1, 1-6 (2016); translation from Sib. Mat. Zh. 57, No. 1, 3-9 (2016). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 53C30 PDFBibTeX XMLCite \textit{S. V. Agapov}, Sib. Math. J. 57, No. 1, 1--6 (2016; Zbl 1356.53036); translation from Sib. Mat. Zh. 57, No. 1, 3--9 (2016) Full Text: DOI
Kiliçman, Adem; Saleh, Wedad Some properties of geodesic semi E-b-vex functions. (English) Zbl 1351.52003 Open Math. 13, 795-804 (2015). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52A20 52A30 52A41 53B20 53C20 53C22 26B25 90C30 PDFBibTeX XMLCite \textit{A. Kiliçman} and \textit{W. Saleh}, Open Math. 13, 795--804 (2015; Zbl 1351.52003) Full Text: DOI
Kılıçman, Adem; Saleh, Wedad On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions. (English) Zbl 1336.52003 J. Inequal. Appl. 2015, Paper No. 297, 10 p. (2015). MSC: 52A20 52A41 53C20 53C22 PDFBibTeX XMLCite \textit{A. Kılıçman} and \textit{W. Saleh}, J. Inequal. Appl. 2015, Paper No. 297, 10 p. (2015; Zbl 1336.52003) Full Text: DOI
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. On highly regular embeddings. (English) Zbl 1351.57027 Benedetti, Bruno (ed.) et al., Combinatorial methods in topology and algebra. Based on the presentations at the INdAM conference, CoMeTa 2013, Cortona, Italy, September 2013. Cham: Springer (ISBN 978-3-319-20154-2/hbk; 978-3-319-20155-9/ebook). Springer INdAM Series 12, 149-153 (2015). MSC: 57N35 53A07 57R20 57R22 55R99 PDFBibTeX XMLCite \textit{P. V. M. Blagojević} et al., Springer INdAM Ser. 12, 149--153 (2015; Zbl 1351.57027) Full Text: DOI arXiv
Ishikawa, Goo; Kitagawa, Yumiko; Yukuno, Wataru Duality on geodesics of Cartan distributions and sub-Riemannian pseudo-product structures. (English) Zbl 1322.58005 Demonstr. Math. 48, No. 2, 193-216 (2015). MSC: 58A30 37A55 53C17 49N15 49J21 PDFBibTeX XMLCite \textit{G. Ishikawa} et al., Demonstr. Math. 48, No. 2, 193--216 (2015; Zbl 1322.58005) Full Text: DOI arXiv
Rupniewski, Marek Singular velocities of even-rank affine distributions. (English) Zbl 1331.58008 J. Dyn. Control Syst. 21, No. 2, 193-210 (2015). Reviewer: Christopher Policastro (Berkeley) MSC: 58A30 93B99 58E25 53B99 55R10 PDFBibTeX XMLCite \textit{M. Rupniewski}, J. Dyn. Control Syst. 21, No. 2, 193--210 (2015; Zbl 1331.58008) Full Text: DOI
Ishikawa, Goo; Kitagawa, Yumiko; Yukuno, Wataru Duality of singular paths for \((2,3,5)\)-distributions. (English) Zbl 1317.58005 J. Dyn. Control Syst. 21, No. 2, 155-171 (2015). MSC: 58A30 53A55 53C17 PDFBibTeX XMLCite \textit{G. Ishikawa} et al., J. Dyn. Control Syst. 21, No. 2, 155--171 (2015; Zbl 1317.58005) Full Text: DOI arXiv
Berestovskii, V. N.; Gorbatsevich, V. V. Homogeneous spaces with inner metric and with integrable invariant distributions. (English. Russian original) Zbl 1320.53056 J. Math. Sci., New York 207, No. 3, 410-466 (2015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 126 (2013). MSC: 53C30 22F30 22E25 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{V. V. Gorbatsevich}, J. Math. Sci., New York 207, No. 3, 410--466 (2015; Zbl 1320.53056); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 126 (2013) Full Text: DOI
Barbero-Liñán, María; Ponte, David Iglesias; Martín de Diego, David Morse families in optimal control problems. (English) Zbl 1319.49028 SIAM J. Control Optim. 53, No. 1, 414-433 (2015). MSC: 49K15 53D12 53D05 70H05 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} et al., SIAM J. Control Optim. 53, No. 1, 414--433 (2015; Zbl 1319.49028) Full Text: DOI arXiv
Bonnard, Bernard; Henninger, Helen C.; Němcová, Jana; Pomet, Jean-Baptiste Time versus energy in the averaged optimal coplanar Kepler transfer towards circular orbits. (English) Zbl 1309.70029 Acta Appl. Math. 135, No. 1, 47-80 (2015). MSC: 70Q05 70F15 93C70 53C80 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Acta Appl. Math. 135, No. 1, 47--80 (2015; Zbl 1309.70029) Full Text: DOI arXiv
Chen, Eric; Lourie, Nick Tripod configurations of curves. (English) Zbl 1309.51004 J. Geom. Phys. 89, 1-16 (2015). MSC: 51L10 53A04 53A35 52A10 PDFBibTeX XMLCite \textit{E. Chen} and \textit{N. Lourie}, J. Geom. Phys. 89, 1--16 (2015; Zbl 1309.51004) Full Text: DOI arXiv
Duits, Remco; Ghosh, Arpan; Haije, Tom Dela; Sachkov, Yuri Cuspless sub-Riemannian geodesics within the Euclidean motion group \(\mathrm{SE}(d)\). (English) Zbl 1331.53054 Citti, Giovanna (ed.) et al., Neuromathematics of vision. Berlin: Springer (ISBN 978-3-642-34443-5/hbk; 978-3-642-34444-2/ebook). Lecture Notes in Morphogenesis, 173-215 (2014). MSC: 53C17 53C22 92C20 PDFBibTeX XMLCite \textit{R. Duits} et al., in: Neuromathematics of vision. Berlin: Springer. 173--215 (2014; Zbl 1331.53054) Full Text: DOI
Noakes, Lyle Minimum \(L^\infty\) accelerations in Riemannian manifolds. (English) Zbl 1296.49042 Adv. Comput. Math. 40, No. 4, 839-863 (2014). MSC: 49Q99 49K15 53C22 58E99 70Q05 PDFBibTeX XMLCite \textit{L. Noakes}, Adv. Comput. Math. 40, No. 4, 839--863 (2014; Zbl 1296.49042) Full Text: DOI arXiv
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. Association fields via cuspless sub-Riemannian geodesics in SE(2). (English) Zbl 1296.49040 J. Math. Imaging Vis. 49, No. 2, 384-417 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 53C17 53C22 94A08 PDFBibTeX XMLCite \textit{R. Duits} et al., J. Math. Imaging Vis. 49, No. 2, 384--417 (2014; Zbl 1296.49040) Full Text: DOI
Zachos, Anastasios N. A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature. (English) Zbl 1286.52001 Acta Appl. Math. 129, No. 1, 81-134 (2014). MSC: 52A15 52A10 53C22 53C45 PDFBibTeX XMLCite \textit{A. N. Zachos}, Acta Appl. Math. 129, No. 1, 81--134 (2014; Zbl 1286.52001) Full Text: DOI arXiv
Boscain, Ugo; Laurent, Camille The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) (English. French summary) Zbl 1314.58017 Ann. Inst. Fourier 63, No. 5, 1739-1770 (2013). Reviewer: Svatopluk Krýsl (Praha) MSC: 58J50 53C17 35P05 58C40 PDFBibTeX XMLCite \textit{U. Boscain} and \textit{C. Laurent}, Ann. Inst. Fourier 63, No. 5, 1739--1770 (2013; Zbl 1314.58017) Full Text: DOI arXiv
Toth, Gabor Simplicial slices of the space of minimal \(\mathrm{SU}(2)\)-orbits in spheres. (English) Zbl 1308.53098 Beitr. Algebra Geom. 54, No. 2, 683-699 (2013). Reviewer: Themistocles M. Rassias (Athens) MSC: 53C42 PDFBibTeX XMLCite \textit{G. Toth}, Beitr. Algebra Geom. 54, No. 2, 683--699 (2013; Zbl 1308.53098) Full Text: DOI
Buhovsky, Lev; Entov, Michael; Polterovich, Leonid Poisson brackets and symplectic invariants. (English) Zbl 1242.53099 Sel. Math., New Ser. 18, No. 1, 89-157 (2012). Reviewer: Akira Asada (Takarazuka) MSC: 53D05 37J05 53D17 53D40 53D12 PDFBibTeX XMLCite \textit{L. Buhovsky} et al., Sel. Math., New Ser. 18, No. 1, 89--157 (2012; Zbl 1242.53099) Full Text: DOI arXiv
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo On the Hausdorff volume in sub-Riemannian geometry. (English) Zbl 1236.53030 Calc. Var. Partial Differ. Equ. 43, No. 3-4, 355-388 (2012). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 58C35 PDFBibTeX XMLCite \textit{A. Agrachev} et al., Calc. Var. Partial Differ. Equ. 43, No. 3--4, 355--388 (2012; Zbl 1236.53030) Full Text: DOI arXiv
Doubrov, Boris; Zelenko, Igor Equivalence of variational problems of higher order. (English) Zbl 1214.58003 Differ. Geom. Appl. 29, No. 2, 255-270 (2011). MSC: 58A30 53A55 34C14 PDFBibTeX XMLCite \textit{B. Doubrov} and \textit{I. Zelenko}, Differ. Geom. Appl. 29, No. 2, 255--270 (2011; Zbl 1214.58003) Full Text: DOI arXiv
Li, Chengbo; Zelenko, Igor Jacobi equations and comparison theorems for corank 1 sub-Riemannian structures with symmetries. (English) Zbl 1216.53039 J. Geom. Phys. 61, No. 4, 781-807 (2011). MSC: 53C17 70G45 49J15 34C10 PDFBibTeX XMLCite \textit{C. Li} and \textit{I. Zelenko}, J. Geom. Phys. 61, No. 4, 781--807 (2011; Zbl 1216.53039) Full Text: DOI arXiv
Bonnard, B.; Charlot, G.; Ghezzi, R.; Janin, G. The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry. (English) Zbl 1209.53014 J. Dyn. Control Syst. 17, No. 1, 141-161 (2011). MSC: 53B20 49K15 53C17 PDFBibTeX XMLCite \textit{B. Bonnard} et al., J. Dyn. Control Syst. 17, No. 1, 141--161 (2011; Zbl 1209.53014) Full Text: DOI arXiv
Zachos, Anastasios; Cotsiolis, Athanase The weighted Fermat-Torricelli problem on a surface and an “inverse” problem. (English) Zbl 1205.53042 J. Math. Anal. Appl. 373, No. 1, 44-58 (2011). Reviewer: Charalampos Charitos (Athens) MSC: 53C20 PDFBibTeX XMLCite \textit{A. Zachos} and \textit{A. Cotsiolis}, J. Math. Anal. Appl. 373, No. 1, 44--58 (2011; Zbl 1205.53042) Full Text: DOI
Sachkov, Yuri L. Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. (English) Zbl 1208.49003 ESAIM, Control Optim. Calc. Var. 16, No. 4, 1018-1039 (2010). Reviewer: Andrew Bucki (Edmond) MSC: 49J15 53C17 49Q20 93B27 PDFBibTeX XMLCite \textit{Y. L. Sachkov}, ESAIM, Control Optim. Calc. Var. 16, No. 4, 1018--1039 (2010; Zbl 1208.49003) Full Text: DOI arXiv EuDML
Moiseev, Igor; Sachkov, Yuri L. Maxwell strata in sub-Riemannian problem on the group of motions of a plane. (English) Zbl 1217.49037 ESAIM, Control Optim. Calc. Var. 16, No. 2, 380-399 (2010). MSC: 49Q20 49J15 93B27 93C10 53C17 22E30 PDFBibTeX XMLCite \textit{I. Moiseev} and \textit{Y. L. Sachkov}, ESAIM, Control Optim. Calc. Var. 16, No. 2, 380--399 (2010; Zbl 1217.49037) Full Text: DOI arXiv EuDML
Zelenko, Igor; Li, Chengbo Differential geometry of curves in Lagrange Grassmannians with given Young diagram. (English) Zbl 1177.53020 Differ. Geom. Appl. 27, No. 6, 723-742 (2009). MSC: 53B25 53D12 16G20 70G45 PDFBibTeX XMLCite \textit{I. Zelenko} and \textit{C. Li}, Differ. Geom. Appl. 27, No. 6, 723--742 (2009; Zbl 1177.53020) Full Text: DOI arXiv
Thorbergsson, Gudlaugur; Umehara, Masaaki Inflection points and double tangents on anti-convex curves in the real projective plane. (English) Zbl 1152.53009 Tohoku Math. J. (2) 60, No. 2, 149-181 (2008). Reviewer: Hans Sachs (Leoben) MSC: 53A20 53C75 PDFBibTeX XMLCite \textit{G. Thorbergsson} and \textit{M. Umehara}, Tôhoku Math. J. (2) 60, No. 2, 149--181 (2008; Zbl 1152.53009) Full Text: DOI arXiv
Yoshimura, Hiroaki; Marsden, Jerrold E. Reduction of Dirac structures and the Hamilton-Pontryagin principle. (English) Zbl 1141.53081 Rep. Math. Phys. 60, No. 3, 381-426 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 PDFBibTeX XMLCite \textit{H. Yoshimura} and \textit{J. E. Marsden}, Rep. Math. Phys. 60, No. 3, 381--426 (2007; Zbl 1141.53081) Full Text: DOI
Csirmaz, László The perimeter of rounded convex planar sets. (English) Zbl 1121.51021 Period. Math. Hung. 54, No. 1, 31-49 (2007). Reviewer: Mihai Cipu (Bucureşti) MSC: 51M16 51M25 26D07 53A05 52A10 PDFBibTeX XMLCite \textit{L. Csirmaz}, Period. Math. Hung. 54, No. 1, 31--49 (2007; Zbl 1121.51021) Full Text: DOI
Monroy-Pérez, F.; Anzaldo-Meneses, A. The step-2 nilpotent \((n,n(n+1)/2)\) sub-Riemannian geometry. (English) Zbl 1111.49019 J. Dyn. Control Syst. 12, No. 2, 185-216 (2006). MSC: 49K30 49Q99 93B29 53C17 PDFBibTeX XMLCite \textit{F. Monroy-Pérez} and \textit{A. Anzaldo-Meneses}, J. Dyn. Control Syst. 12, No. 2, 185--216 (2006; Zbl 1111.49019) Full Text: DOI
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. II: Variational structures. (English) Zbl 1121.53057 J. Geom. Phys. 57, No. 1, 209-250 (2006). MSC: 53D17 37J05 49J15 70G45 70H03 70H45 94C05 PDFBibTeX XMLCite \textit{H. Yoshimura} and \textit{J. E. Marsden}, J. Geom. Phys. 57, No. 1, 209--250 (2006; Zbl 1121.53057) Full Text: DOI