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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 94–97
(Mi ivm7871)
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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
The local geometry of Carnot manifolds at singular points
S. V. Selivanova Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Novosibirsk, Russia
Abstract:
In this paper we study the local geometry of Carnot manifolds in a neighborhood of a singular point in the case when horizontal vector fields are $2M$-smooth. Here $M$ is the depth of a Carnot manifold.
Keywords:
Carnot manifold, singular point, tangent cone.
Citation:
S. V. Selivanova, “The local geometry of Carnot manifolds at singular points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 94–97; Russian Math. (Iz. VUZ), 55:8 (2011), 81–84
Linking options:
https://www.mathnet.ru/eng/ivm7871 https://www.mathnet.ru/eng/ivm/y2011/i8/p94
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Abstract page: | 242 | Full-text PDF : | 57 | References: | 26 | First page: | 11 |
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