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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 84–87
(Mi ivm7308)
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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
An example of a Carnot manifold with $C^1$-smooth basis vector fields
M. B. Karmanova Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
In this paper we construct an example of a Carnot manifold whose basis vector fields are of class $C^1$ but not of class $C^2$.
Keywords:
Carnot manifold, commutator of vector fields.
Citation:
M. B. Karmanova, “An example of a Carnot manifold with $C^1$-smooth basis vector fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 84–87; Russian Math. (Iz. VUZ), 55:5 (2011), 70–73
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https://www.mathnet.ru/eng/ivm7308 https://www.mathnet.ru/eng/ivm/y2011/i5/p84
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Abstract page: | 313 | Full-text PDF : | 82 | References: | 61 | First page: | 7 |
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