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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 528, Pages 153–165
(Mi znsl7408)
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On the exponential mapping of geodesics in sub-Riemannian geometry
V. R. Krym Saint Petersburg State University
Abstract:
The equations of admissible geodesics for a nonholonomic distribution on Riemannian manifold are written in the mixed bundle. The differential of the exponential mapping for a nonholonomic distribution with the cyclicity condition for vertical coordinates is calculated. This differential is non-degenerate if the distribution is strongly bracket generating. The equations of admissible geodesics on 3-dimensional Lie groups are studied.
Key words and phrases:
sub-Riemannian geometry, admissible geodesics, abnormal geodesics, nonholonomic distributions.
Received: 03.11.2023
Citation:
V. R. Krym, “On the exponential mapping of geodesics in sub-Riemannian geometry”, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Zap. Nauchn. Sem. POMI, 528, POMI, St. Petersburg, 2023, 153–165
Linking options:
https://www.mathnet.ru/eng/znsl7408 https://www.mathnet.ru/eng/znsl/v528/p153
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Abstract page: | 51 | Full-text PDF : | 33 | References: | 16 |
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