Arhancet, Cédric Sobolev algebras on Lie groups and noncommutative geometry. (English) Zbl 1548.46057 J. Noncommut. Geom. 18, No. 2, 451-500 (2024). MSC: 46L87 58B34 43A80 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auffinger, Antonio; Gorski, Christian Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups. (English) Zbl 1532.60199 Probab. Theory Relat. Fields 186, No. 1-2, 285-326 (2023). MSC: 60K35 60K37 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Sharp Hardy identities and inequalities on Carnot groups. (English) Zbl 1479.43012 Adv. Nonlinear Stud. 21, No. 2, 281-302 (2021). MSC: 43A80 43A15 42B35 46E35 35J15 26D10 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Gerosa, Daniele; Monti, Roberto; Morbidelli, Daniele A trace theorem for Martinet-type vector fields. (English) Zbl 1477.53049 Commun. Contemp. Math. 23, No. 2, Article ID 1950066, 28 p. (2021). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 53C17 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zorich, Vladimir A. On the boundary behavior of quasiconformal mappings. (English. Ukrainian original) Zbl 1435.30077 J. Math. Sci., New York 244, No. 1, 104-111 (2020); translation from Ukr. Mat. Visn. 16, No. 2, 289-300 (2019). MSC: 30C62 × Cite Format Result Cite Review PDF Full Text: DOI
Don, Sebastiano; Vittone, Davide A compactness result for BV functions in metric spaces. (English) Zbl 1421.46029 Ann. Acad. Sci. Fenn., Math. 44, No. 1, 329-339 (2019). MSC: 46E35 26B30 26D10 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruszkowski, Bartosch Hardy inequalities for the Heisenberg Laplacian on convex bounded polytopes. (English) Zbl 1405.26020 Math. Scand. 123, No. 1, 101-120 (2018). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aribi, Amine; Dragomir, Sorin Dirichlet and Neumann eigenvalue problems on CR manifolds. (English) Zbl 1405.32057 Ric. Mat. 67, No. 2, 285-320 (2018). Reviewer: Koichi Saka (Akita) MSC: 32V20 35H20 × Cite Format Result Cite Review PDF Full Text: DOI
Greshnov, A. V. Uniformity of \(cc\)-balls on some class of 2-step Carnot groups. (Russian. English summary) Zbl 1401.30067 Sib. Èlektron. Mat. Izv. 15, 1182-1197 (2018). MSC: 30L99 × Cite Format Result Cite Review PDF
Battaglia, Erika; Bonfiglioli, Andrea An invariant Harnack inequality for a class of subelliptic operators under global doubling and Poincaré assumptions, and applications. (English) Zbl 1382.35058 J. Math. Anal. Appl. 460, No. 1, 302-320 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35K10 35B65 35H20 35J08 × Cite Format Result Cite Review PDF Full Text: DOI
Dlugie, Ethan; Peterson, Aaron On uniform large-scale volume growth for the Carnot-Carathéodory metric on unbounded model hypersurfaces in \(\mathbb{C}^2\). (English) Zbl 1371.53029 Involve 11, No. 1, 103-118 (2018). MSC: 53C17 32V15 43A85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greshnov, A. V. \((q_1,q_2)\)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics. (Russian, English) Zbl 1399.54061 Mat. Tr. 20, No. 1, 81-96 (2017); translation in Sib. Adv. Math. 27, No. 4, 253-262 (2017). MSC: 54E35 54E15 × Cite Format Result Cite Review PDF Full Text: DOI
Biagi, Stefano; Bonfiglioli, Andrea A completeness result for time-dependent vector fields and applications. (English) Zbl 1361.58003 Commun. Contemp. Math. 17, No. 4, Article ID 1450040, 26 p. (2015). MSC: 58A30 22E60 34A12 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Hajłasz, Piotr; Malekzadeh, Soheil On conditions for unrectifiability of a metric space. (English) Zbl 1321.28008 Anal. Geom. Metr. Spaces 3, 1-14 (2015). MSC: 28A75 49Q15 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karmanova, Maria Fine properties of weighted Carnot-Carathéodory spaces under minimal assumptions on smoothness. (English) Zbl 1389.51005 Ann. Univ. Buchar., Math. Ser. 5(63), No. 1, 115-130 (2014). MSC: 51F99 × Cite Format Result Cite Review PDF
Bonfiglioli, Andrea Algebras of complete Hörmander vector fields, and Lie-group construction. (Italian. English summary) Zbl 1431.22005 “Bruno Pini” Mathematical Analysis Seminar 2014. Papers from the seminar, University of Bologna, Bologna, Italy, 2014. Bologna: Università di Bologna, Alma Mater Studiorum. 15-30 (2014). MSC: 22E05 34C14 58A30 × Cite Format Result Cite Review PDF Full Text: Link
Berestovskii, V. N.; Gorbatsevich, V. V. Homogeneous spaces with inner metric and with integrable invariant distributions. (English) Zbl 1316.53035 Anal. Math. Phys. 4, No. 4, 263-331 (2014). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 53C30 53C60 20F65 × Cite Format Result Cite Review PDF Full Text: DOI
Dymarz, Tullia Quasisymmetric maps of boundaries of amenable hyperbolic groups. (English) Zbl 1318.20042 Indiana Univ. Math. J. 63, No. 2, 329-343 (2014). MSC: 20F65 20F67 43A07 30C65 53C24 53C23 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Greshnov, A. V. The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras. (English. Russian original) Zbl 1311.53034 Sib. Math. J. 55, No. 5, 849-865 (2014); translation from Sib. Mat. Zh. 55, No. 5, 849-865 (2014). MSC: 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Bardi, Martino; Dragoni, Federica Subdifferential and properties of convex functions with respect to vector fields. (English) Zbl 1304.49033 J. Convex Anal. 21, No. 3, 785-810 (2014). MSC: 49J52 × Cite Format Result Cite Review PDF Full Text: Link
Street, Brian Multi-parameter singular integrals. (English) Zbl 1330.42001 Annals of Mathematics Studies 189. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16251-5/hbk; 978-0-691-16252-2/pbk; 978-1-4008-5275-8/ebook). xiii, 395 p. (2014). Reviewer: Lubomira Softova (Aversa) MSC: 42-02 42B20 42B10 42B37 45P05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Montanari, Annamaria Harnack inequality for a subelliptic PDE in nondivergence form. (English) Zbl 1304.35235 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 285-300 (2014). MSC: 35H20 35J70 35R05 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karmanova, M. B. An area formula for Lipschitz mappings of Carnot-Carathéodory spaces. (English. Russian original) Zbl 1305.53042 Izv. Math. 78, No. 3, 475-499 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 3, 53-78 (2014). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 28A75 28A78 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karmanova, Maria; Vodopyanov, Sergey On local approximation theorem on equiregular Carnot-Carathéodory spaces. (English) Zbl 1294.53032 Stefani, Gianna (ed.) et al., Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Cham: Springer (ISBN 978-3-319-02131-7/hbk; 978-3-319-02132-4/ebook). Springer INdAM Series 5, 241-262 (2014). MSC: 53C17 58J90 × Cite Format Result Cite Review PDF Full Text: DOI
Selivanova, Svetlana Metric geometry of nonregular weighted Carnot-Carathéodory spaces. (English) Zbl 1318.53024 J. Dyn. Control Syst. 20, No. 1, 123-148 (2014); erratum ibid. 21, No. 2, 307 (2015). Reviewer: Stefan Balint (Timişoara) MSC: 53C17 49J20 51F99 35H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxing; Jiang, Yinsheng Harnack inequality for subelliptic \(p\)-Laplacian equations of Schrödinger type. (English) Zbl 1284.35143 J. Inequal. Appl. 2013, Paper No. 160, 11 p. (2013). MSC: 35H20 35J10 35D30 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Basalaev, S. G. Poincaré inequality for \(C ^{1}\)-smooth vector fields. (English. Russian original) Zbl 1283.58005 Dokl. Math. 88, No. 1, 460-464 (2013); translation from Dokl. Akad. Nauk, 451, No. 6, 607-611 (2013). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A30 × Cite Format Result Cite Review PDF Full Text: DOI
Isangulova, D. V. Quasiconformal mappings of the motion group of the plane. (English. Russian original) Zbl 1294.30038 Math. Notes 93, No. 6, 932-935 (2013); translation from Mat. Zametki 93, No. 6, 947-950 (2013). MSC: 30C62 × Cite Format Result Cite Review PDF Full Text: DOI
Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. (English) Zbl 1259.53031 J. Geom. Anal. 23, No. 1, 438-455 (2013). MSC: 53C17 53C15 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan \(L^\infty\)-variational problem associated to Dirichlet forms. (English) Zbl 1280.49028 Math. Res. Lett. 19, No. 6, 1263-1275 (2012). MSC: 49J99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Belykh, A. V.; Greshnov, A. V. Condition of cc-homogeneous cone and cc-balls on Heisenberg groups. (Russian, English. English summary) Zbl 1249.53043 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 11, No. 4, 8-20 (2011); translation in J. Math. Sci., New York 195, No. 6, 779-790 (2013). MSC: 53C17 × Cite Format Result Cite Review PDF
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). (English) Zbl 1247.46020 Acta Math. 207, No. 2, 291-373 (2011). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 20F65 22E30 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vodopyanov, S. K.; Isangulova, D. V. Coercive estimates and integral representation formulas on Carnot groups. (English. Russian original) Zbl 1235.43007 Dokl. Math. 83, No. 3, 293-297 (2011); translation from Dokl. Akad. Nauk 438, No. 1, 17-21 (2011). Reviewer: Witold Mozgawa (Lublin) MSC: 43A80 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Le Donne, Enrico Metric spaces with unique tangents. (English) Zbl 1242.54013 Ann. Acad. Sci. Fenn., Math. 36, No. 2, 683-694 (2011). Reviewer: Vladimír Janiš (Banská Bystrica) MSC: 54E35 28A75 14M17 53C17 22D05 26A16 53C23 54C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grong, Erlend; Vasil’ev, Alexander Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. (English) Zbl 1231.53031 J. Geom. Mech. 3, No. 2, 225-260 (2011). Reviewer: Krishan Lal Duggal (Windsor, Ontario) MSC: 53C17 53B30 53C50 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco Differentiability of intrinsic Lipschitz functions within Heisenberg groups. (English) Zbl 1234.22002 J. Geom. Anal. 21, No. 4, 1044-1084 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 22E30 58C20 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmetolan, S.; Cavdar, S. Nonlinear degenerate parabolic equations with time dependent singular coefficients. (English) Zbl 1225.35129 Math. Nachr. 284, No. 10, 1219-1233 (2011). MSC: 35K65 35H10 35R05 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Ryokichi Large deviation on a covering graph with group of polynomial growth. (English) Zbl 1216.60021 Math. Z. 267, No. 3-4, 803-833 (2011). MSC: 60F10 60G50 53C21 39A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zorich, Vladimir Mathematical analysis of problems in the natural sciences. Translated from the 2008 Russian original by Gerald Gould. (English) Zbl 1213.00059 Berlin: Springer (ISBN 978-3-642-14812-5/hbk; 978-3-642-14813-2/ebook). xi, 135 p. (2011). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 00A79 53-01 80-01 97M10 97M50 × Cite Format Result Cite Review PDF Full Text: DOI
Kozhevnikov, A. D. Inverse and implicit function theorems on Carnot manifolds. (English. Russian original) Zbl 1222.53035 Sib. Math. J. 51, No. 6, 1047-1060 (2010); translation from Sib. Mat. Zh. 51, No. 6, 1322-1339 (2010). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 58J60 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Tom; Nicas, Andrew The horofunction boundary of the Heisenberg group: the Carnot-Carathéodory metric. (English) Zbl 1218.22005 Conform. Geom. Dyn. 14, 269-295 (2010). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 22E25 20F65 53C23 53C70 × Cite Format Result Cite Review PDF Full Text: DOI
Juillet, Nicolas A counterexample for the geometric traveling salesman problem in the Heisenberg group. (English) Zbl 1206.28003 Rev. Mat. Iberoam. 26, No. 3, 1035-1056 (2010). Reviewer: George Stoica (Saint John) MSC: 28A75 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Selivanova, S. V. The tangent cone to a quasimetric space with dilations. (English. Russian original) Zbl 1202.53047 Sib. Math. J. 51, No. 2, 313-324 (2010); translation from Sib. Mat. Zh. 51, No. 2, 388-403 (2010). MSC: 53C23 54E99 × Cite Format Result Cite Review PDF Full Text: DOI
Buyalo, S.; Kuznetsov, Aleksey Mikhailovich Boundary at infinity of symmetric rank one spaces. (English. Russian original) Zbl 1203.53038 St. Petersbg. Math. J. 21, No. 5, 681-691 (2010); translation from Algebra Anal. 21, No. 5, 3-18 (2009). Reviewer: Charalampos Charitos (Athens) MSC: 53C23 53C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geiges, Hansjörg; Pérez, Jesús Gonzalo A homogeneous Gibbons-Hawking ansatz and Blaschke products. (English) Zbl 1203.53042 Adv. Math. 225, No. 5, 2598-2615 (2010). Reviewer: Mihail Banaru (Smolensk) MSC: 53C26 53C17 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soravia, Pierpaolo Viscosity and almost everywhere solutions of first-order Carnot-Carathéodory Hamilton-Jacobi equations. (English) Zbl 1195.49034 Boll. Unione Mat. Ital. (9) 3, No. 2, 391-406 (2010). MSC: 49L25 49K27 35F21 × Cite Format Result Cite Review PDF
Bigolin, Francesco; Serra Cassano, Francesco Distributional solutions of Burgers’ equation and intrinsic regular graphs in Heisenberg groups. (English) Zbl 1186.35030 J. Math. Anal. Appl. 366, No. 2, 561-568 (2010). Reviewer: Marco Biroli (Milano) MSC: 35H20 35L65 35R03 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Bigolin, Francesco; Serra Cassano, Francesco Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs. (English) Zbl 1188.53027 Adv. Calc. Var. 3, No. 1, 69-97 (2010). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 35L60 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Mamedov, F. I.; Amanov, R. A. On some nonuniform cases of the weighted Sobolev and Poincaré inequalities. (English. Russian original) Zbl 1207.46033 St. Petersbg. Math. J. 20, No. 3, 447-463 (2009); translation from Algebra Anal. 20, No. 3, 163-186 (2008). MSC: 46E35 26D10 35A25 × Cite Format Result Cite Review PDF Full Text: DOI
Vodop’yanov, S. K.; Karmanova, M. V. A local approximation theorem on Carnot manifolds under minimal smoothness conditions. (English. Russian original) Zbl 1188.53029 Dokl. Math. 80, No. 1, 585-589 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 6, 731-736 (2009). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, A. M. Visibility metrics on the infinity boundary of the complex hyperbolic plane. (English. Russian original) Zbl 1182.53033 J. Math. Sci., New York 161, No. 3, 392-404 (2009); translation from Zap. Nauchn. Semin. POMI 353, 70-93 (2008). MSC: 53C20 53C70 54E35 × Cite Format Result Cite Review PDF Full Text: DOI
Vodop’yanov, S. K.; Selivanova, S. V. Algebraic properties of the tangent cone to a quasimetric space with dilations. (English. Russian original) Zbl 1198.53033 Dokl. Math. 80, No. 2, 734-738 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 5, 586-590 (2009). MSC: 53C17 54E20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Changyou; Yu, Yifeng Aronsson’s equations on Carnot-Carathéodory spaces. (English) Zbl 1175.49025 Ill. J. Math. 52, No. 3, 757-772 (2008). MSC: 49L25 35J60 35J70 35J20 × Cite Format Result Cite Review PDF Full Text: Euclid
Chang, Der-Chen; Markina, I. G. Geometric analysis on quaternion anisotropic Carnot groups. (English. Russian original) Zbl 1165.53031 Dokl. Math. 77, No. 1, 124-129 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 6, 731-736 (2008). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 53C30 53C20 53C17 53C22 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmetolan, S. Nonlinear degenerate parabolic equations with singular coefficients for Greiner vector fields. (English) Zbl 1160.35452 Appl. Anal. 87, No. 7, 741-754 (2008). MSC: 35K65 35K55 35H10 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Capogna, Luca; Shatah, Jalal A note on ill-posedness of the Cauchy problem for Heisenberg wave maps. (English) Zbl 1147.35108 Proc. Am. Math. Soc. 136, No. 5, 1619-1629 (2008). Reviewer: Akira Asada (Takarazuka) MSC: 35R25 35L55 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Hurtado, Ana; Rosales, César Area-stationary surfaces inside the sub-Riemannian three-sphere. (English) Zbl 1132.53015 Math. Ann. 340, No. 3, 675-708 (2008). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53C17 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greshnov, A. V. Local approximation of uniformly regular Carnot–Carathéodory quasispaces by their tangent cones. (Russian, English) Zbl 1164.53343 Sib. Mat. Zh. 48, No. 2, 290-312 (2007); translation in Sib. Math. J. 48, No. 2, 229-248 (2007). MSC: 53C17 53C23 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Ferrari, Fausto; Franchi, Bruno; Pajot, Hervé The geometric traveling salesman problem in the Heisenberg group. (English) Zbl 1142.28004 Rev. Mat. Iberoam. 23, No. 2, 437-480 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 28A75 43A80 × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML
Arcozzi, Nicola; Ferrari, Fausto Metric normal and distance function in the Heisenberg group. (English) Zbl 1128.49035 Math. Z. 256, No. 3, 661-684 (2007). MSC: 49Q15 53C17 53C22 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Der-Chen; Markina, Irina Anisotropic quaternion Carnot groups: Geometric analysis and Green function. (English) Zbl 1133.35334 Adv. Appl. Math. 39, No. 3, 345-394 (2007). Reviewer: Marco Biroli (Milano) MSC: 35H20 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calin, Ovidiu; Chang, Der-Chen; Greiner, Peter Geometric analysis on the Heisenberg group and its generalizations. (English) Zbl 1132.53001 AMS/IP Studies in Advanced Mathematics 40. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4319-2/hbk). ix, 244 p. (2007). Reviewer: A. Neagu (Iaşi) MSC: 53-02 53C17 53C22 35H20 46E25 20C20 × Cite Format Result Cite Review PDF
Caruso, A. O.; Fanciullo, M. S. \(BMO\) on spaces of homogeneous type: a density result on \(C\)-\(C\) spaces. (English) Zbl 1117.43007 Ann. Acad. Sci. Fenn., Math. 32, No. 1, 13-26 (2007). Reviewer: Tamás Mátrai (Karlsruhe) MSC: 43A80 54E35 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: EuDML
Kombe, Ismail On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients. (English) Zbl 1099.35051 Appl. Anal. 85, No. 5, 467-478 (2006). MSC: 35K65 35R05 35B33 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide Intrinsic regular hypersurfaces in Heisenberg groups. (English) Zbl 1085.49045 J. Geom. Anal. 16, No. 2, 187-232 (2006). MSC: 49Q15 28A75 43A80 22E25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kombe, Ismail Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations. (English) Zbl 1103.35053 Abstr. Appl. Anal. 2005, No. 6, 607-617 (2005). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 35K55 35H20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Zorich, V. A. On contact quasiconformal immersions. (English. Russian original) Zbl 1120.53047 Russ. Math. Surv. 60, No. 2, 382-383 (2005); translation from Usp. Mat. Nauk 60, No. 2, 161-162 (2005). Reviewer: Guang-Cun Lu (Beijing) MSC: 53D10 53C23 30C65 53C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rigot, S. Mass transportation in groups of type \(H\). (English) Zbl 1089.49041 Commun. Contemp. Math. 7, No. 4, 509-537 (2005). MSC: 49Q20 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Jost, Jürgen; Yang, Yi-Hu Heat flow for horizontal harmonic maps into a class of Carnot-Carathéodory spaces. (English) Zbl 1089.58008 Math. Res. Lett. 12, No. 4, 513-529 (2005). Reviewer: Gábor Tóth (Camden) MSC: 58E20 53C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monti, Roberto; Rickly, Matthieu Geodetically convex sets in the Heisenberg group. (English) Zbl 1077.53030 J. Convex Anal. 12, No. 1, 187-196 (2005). Reviewer: Christian Bär (Potsdam) MSC: 53C17 22E25 × Cite Format Result Cite Review PDF
Markina, Irina \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups. (English) Zbl 1069.31003 Tohoku Math. J., II. Ser. 56, No. 4, 553-569 (2004). Reviewer: Lubomira Softova (Bari) MSC: 31C15 22E30 43A80 35H20 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Kang-Hai; Yang, Xiao-Ping Characterisation of the sub-Riemannian isometry groups of \(H\)-type groups. (English) Zbl 1070.53013 Bull. Aust. Math. Soc. 70, No. 1, 87-100 (2004). MSC: 53C17 53C22 53A40 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Pauls, Scott D. A notion of rectifiability modeled on Carnot groups. (English) Zbl 1076.49025 Indiana Univ. Math. J. 53, No. 1, 49-81 (2004). MSC: 49Q20 49Q15 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pauls, Scott D. Minimal surfaces in the Heisenberg group. (English) Zbl 1054.49029 Geom. Dedicata 104, 201-231 (2004). Reviewer: Helmut Reckziegel (Köln) MSC: 49Q05 53C42 35H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Montefalcone, Francescopaolo Sets of finite perimeter associated with vector fields and polyhedral approximation. (English) Zbl 1072.49031 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 4, 279-295 (2003). Reviewer: Antonio Masiello (Bari) MSC: 49Q15 × Cite Format Result Cite Review PDF
Markina, Irina Extremal widths on homogeneous groups. (English) Zbl 1048.31004 Complex Variables, Theory Appl. 48, No. 11, 947-960 (2003). Reviewer: Roman Urban (Wrocław) MSC: 31B15 22E30 31C15 35H20 28A12 × Cite Format Result Cite Review PDF Full Text: DOI
Markina, Irina Extremal length for quasiregular mappings on Heisenberg groups. (English) Zbl 1094.30024 J. Math. Anal. Appl. 284, No. 2, 532-547 (2003). MSC: 30C65 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Ostellari, Patrick Global behavior of the heat kernel associated with certain sub-Laplacians on semisimple Lie groups. (English) Zbl 1022.22011 J. Funct. Anal. 199, No. 2, 521-534 (2003). Reviewer: Jan Chrastina (Brno) MSC: 22E30 22E46 35K05 43A90 × Cite Format Result Cite Review PDF Full Text: DOI
Markina, Irina On local homeomorphism of mappings with bounded distortion with the coefficient of distortion close to identity. (English) Zbl 1115.22008 Sci., Ser. A, Math. Sci. (N.S.) 8, 21-42 (2002). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 22E30 30C65 43A80 × Cite Format Result Cite Review PDF
Bieske, Thomas Viscosity solutions on Grushin-type planes. (English) Zbl 1029.35079 Ill. J. Math. 46, No. 3, 893-911 (2002). Reviewer: Jan Chrastina (Brno) MSC: 35H20 35B50 × Cite Format Result Cite Review PDF
Greshnov, A. V. Uniform domains and \(NTA\)-domains in Carnot groups. (Russian, English) Zbl 1015.30009 Sib. Mat. Zh. 42, No. 5, 1018-1035 (2001); translation in Sib. Math. J. 42, No. 5, 851-864 (2001). MSC: 30C65 46E35 31C45 22E30 × Cite Format Result Cite Review PDF Full Text: EuDML
Nagel, Alexander; Stein, Elias M. Differentiable control metrics and scaled bump functions. (English) Zbl 1041.58006 J. Differ. Geom. 57, No. 3, 465-492 (2001). Reviewer: Jan Chrastina (Brno) MSC: 58E25 × Cite Format Result Cite Review PDF Full Text: DOI
Ge, Yuxin; Ye, Dong Some comparison, symmetry and monotonicity results for Carnot-Carathéodory spaces. (English) Zbl 1017.35121 Adv. Differ. Equ. 6, No. 1, 51-72 (2001). Reviewer: Marco Biroli (Monza) MSC: 35R45 35H20 35J70 35B05 35B50 46E35 × Cite Format Result Cite Review PDF
Dontsov, V. V. Systoles on Heisenberg groups with Carnot-Carathéodory metrics. (English. Russian original) Zbl 1028.53046 Sb. Math. 192, No. 3, 347-374 (2001); translation from Mat. Sb. 192, No. 3, 27-54 (2001). Reviewer: Fuliu Zhu (Hubei) MSC: 53C23 53C22 22E25 22E40 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Semmes, Stephen Some novel types of fractal geometry. (English) Zbl 0970.28001 Oxford Mathematical Monographs. Oxford: Clarendon Press. x, 164 p. (2001). Reviewer: Pertti Mattila (Jyväskylä) MSC: 28-02 28A80 28A78 42-02 30-02 54-02 54E35 54E40 × Cite Format Result Cite Review PDF
Dontsov, V. V. Nilmanifolds with Carnot-Carathéodory metrics. (Russian. English summary) Zbl 1038.53043 Zap. Nauchn. Semin. POMI 266, Part II, 64-75 (2000). Reviewer: E. S. Golod (Moskva) MSC: 53C23 53C30 28A78 × Cite Format Result Cite Review PDF Full Text: EuDML
Vodop’yanov, Serguei K. \(\mathcal P\)-differentiability on Carnot groups in different topologies and related topics. (English) Zbl 0992.58005 Vodop’yanov, S. K. (ed.), Proceedings on analysis and geometry. International conference in honor of the 70th birthday of Professor Yu. G. Reshetnyak, Novosibirsk, Russia, August 30-September 3, 1999. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 603-670 (2000). MSC: 58C25 58B10 46E35 49Q15 22E25 × Cite Format Result Cite Review PDF
Gichev, V. M. Attainable sets for left invariant control systems and Carnot–Caratheodory metrics on nilpotent Lie groups. (English) Zbl 0984.22004 Vodop’yanov, S. K. (ed.), Proceedings on analysis and geometry. International conference in honor of the 70th birthday of Professor Yu. G. Reshetnyak, Novosibirsk, Russia, August 30-September 3, 1999. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 173-185 (2000). MSC: 22E25 93B03 06F15 49N35 × Cite Format Result Cite Review PDF Full Text: arXiv
Baryshnikov, Yu. On small Carnot-Carathéodory spheres. (English) Zbl 0967.53021 Geom. Funct. Anal. 10, No. 2, 259-265 (2000). Reviewer: Paolo Piccione (São Paulo) MSC: 53C17 × Cite Format Result Cite Review PDF Full Text: DOI Link
D’Ambra, G. An application to the \(h\)-principle to \(C^1\)-isometric immersions in contact manifolds. (English) Zbl 0978.53100 Commun. Anal. Geom. 8, No. 2, 347-373 (2000). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53C40 53D10 53C25 × Cite Format Result Cite Review PDF Full Text: DOI
Biquard, Olivier Asymptotically symmetric Einstein metrics. (Métriques d’Einstein asymptotiquement symétriques.) (French) Zbl 0967.53030 Astérisque. 265. Paris: Société Mathématique de France, 109 p. (2000). Reviewer: Ryszard Deszcz (Wroclaw) MSC: 53C25 53-02 53C28 53C26 × Cite Format Result Cite Review PDF
Biquard, Olivier Einstein deformations of hyperbolic metrics. (English) Zbl 1001.53028 LeBrun, Claude (ed.) et al., Surveys in differential geometry: essays on Einstein manifolds. Lectures on geometry and topology, sponsored by Lehigh University’s Journal of Differential Geometry. Cambridge, MA: International Press. Surv. Differ. Geom., Suppl. J. Differ. Geom. 6, 235-246 (1999). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C25 53C55 53C24 × Cite Format Result Cite Review PDF
Greshnov, A. V. Domains satisfying inner and outer spiral conditions in metric spaces. (Russian) Zbl 0961.30013 Reshetnyak, Yu. G. (ed.) et al., Algebra, geometry, analysis and mathematical physics. Twelfth Siberian school, Novosibirsk, Russia, July 20-24, 1998. Novosibirsk: Izdatel’stvo Instituta Matematiki SO RAN. 54-67 (1999). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 30C65 × Cite Format Result Cite Review PDF
Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka Definitions of Sobolev classes on metric spaces. (English) Zbl 0938.46037 Ann. Inst. Fourier 49, No. 6, 1903-1924 (1999). Reviewer: H.Triebel (Jena) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Balogh, Zoltan M.; Bonk, Mario Pseudoconvexity and Gromov hyperbolicity. (English. Abridged French version) Zbl 0940.32007 C. R. Acad. Sci., Paris, Sér. I, Math. 328, No. 7, 597-602 (1999). Reviewer: Na Jisheng (Beijing) MSC: 32F45 32T15 32Q45 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Vodop’yanov, S. K.; Ukhlov, A. D. Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. (English. Russian original) Zbl 0917.46023 Sib. Math. J. 39, No. 4, 665-682 (1998); translation from Sib. Mat. Zh. 39, No. 4, 776-795 (1998). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 46E35 43A85 30C65 × Cite Format Result Cite Review PDF Full Text: DOI
Orro, Patrice Some properties of the geodesic distance. (Quelques propriétés de la distance géodésique.) (French) Zbl 0899.53034 Fukuda, T. (ed.) et al., Real analytic and algebraic singularities. Harlow: Longman. Pitman Res. Notes Math. Ser. 381, 107-113 (1998). Reviewer: M.Malakhal’tsev (Kazan’) MSC: 53C22 53C15 × Cite Format Result Cite Review PDF
Pansu, Pierre Difféomorphismes de \(p\)-dilation bornée. (French) Zbl 0890.22005 Ann. Acad. Sci. Fenn., Math. 22, No. 2, 475-506 (1997). Reviewer: P.Pansu (Paris) MSC: 22E45 30C65 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Bellaïche, André The tangent space in sub-Riemannian geometry. (English) Zbl 0884.53027 J. Math. Sci., New York 83, No. 4, 461-476 (1997). Reviewer: C.Bär (Freiburg) MSC: 53C15 × Cite Format Result Cite Review PDF
Kupka, Ivan Sub-Riemannian geometry. (Géométrie sous-riemannienne.) (French) Zbl 0893.53013 Séminaire Bourbaki. Volume 1995/96. Exposés 805–819. Paris: Société Mathématique de France, Astérisque. 241, 351-380, Exp. No. 817 (1997). Reviewer: C.Bär (Freiburg) MSC: 53C15 58A30 53-02 53C07 53C22 58E10 49K15 65H10 35K10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML