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Russian Mathematical Surveys, 2016, Volume 71, Issue 6, Pages 989–1019
DOI: https://doi.org/10.1070/RM9744
(Mi rm9744)
 

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
References:
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2016, Volume 71, Issue 6(432), Pages 3–36
DOI: https://doi.org/10.4213/rm9744
Bibliographic databases:
Document Type: Article
UDC: 514.774
MSC: 53C17
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/rm9744
  • https://doi.org/10.1070/RM9744
  • https://www.mathnet.ru/eng/rm/v71/i6/p3
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:803
    Russian version PDF:219
    English version PDF:42
    References:93
    First page:50
     
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