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This article is cited in 15 scientific papers (total in 15 papers)
Topics in sub-Riemannian geometry
A. A. Agrachevab a Steklov Mathematical Institute of Russian Academy of Sciences
b International School for Advanced Studies (SISSA), Trieste, Italy
Abstract:
Sub-Riemannian geometry is the geometry of spaces with non-holonomic constraints. This paper presents an informal survey of some topics in this area, starting with the construction of geodesic curves and ending with a recent definition of curvature.
Bibliography: 28 titles.
Keywords:
geodesic, curvature, sub-Riemannian geometry.
Received: 23.09.2016
Citation:
A. A. Agrachev, “Topics in sub-Riemannian geometry”, Uspekhi Mat. Nauk, 71:6(432) (2016), 3–36; Russian Math. Surveys, 71:6 (2016), 989–1019
Linking options:
https://www.mathnet.ru/eng/rm9744https://doi.org/10.1070/RM9744 https://www.mathnet.ru/eng/rm/v71/i6/p3
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Abstract page: | 803 | Russian version PDF: | 219 | English version PDF: | 42 | References: | 93 | First page: | 50 |
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