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Found 111 Documents (Results 1–100)

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).
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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).
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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).
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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).
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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).
MSC:  53C17 22E25 49K15
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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).
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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).
MSC:  53C44 53C17 22E25
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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).
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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).
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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
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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
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