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Matematicheskie Trudy, 2012, Volume 15, Number 1, Pages 27–54 (Mi mt225)  
This article is cited in 1 scientific paper (total in 1 paper)

The affine connection in the normal coordinates

A. V. Gavrilov

Siberian Independent Institute, Novosibirsk, Russia
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Abstract: We propose a method to calculate the derivatives of the Christoffel symbols in the normal coordinates on a smooth manifold with symmetric affine connection. As an application, we construct an algorithm for computing the Taylor series of the double exponential map.
Key words: affine connection, normal coordinates, composition of exponential maps.
Received: 08.12.2010
English version:
Siberian Advances in Mathematics, 2013, Volume 23, Issue 1, Pages 1–19
DOI: https://doi.org/10.3103/S105513441301001X
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: A. V. Gavrilov, “The affine connection in the normal coordinates”, Mat. Tr., 15:1 (2012), 27–54; Siberian Adv. Math., 23:1 (2013), 1–19
Citation in format AMSBIB
\Bibitem{Gav12}
\by A.~V.~Gavrilov
\paper The affine connection in the normal coordinates
\jour Mat. Tr.
\yr 2012
\vol 15
\issue 1
\pages 27--54
\mathnet{http://mi.mathnet.ru/mt225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2984674}
\elib{https://elibrary.ru/item.asp?id=17718096}
\transl
\jour Siberian Adv. Math.
\yr 2013
\vol 23
\issue 1
\pages 1--19
\crossref{https://doi.org/10.3103/S105513441301001X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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