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Matematicheskie Trudy, 2010, Volume 13, Number 1, Pages 63–84 (Mi mt191)  
This article is cited in 3 scientific papers (total in 3 papers)

The Leibniz formula for the covariant derivative and some of its applications

A. V. Gavrilov

Siberian Independent Institute, Novosibirsk, Russia
Full-text PDF (244 kB) Citations (3)
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Abstract: We obtain a formula for the higher covariant derivatives on the tensor product of vector bundles which is a wide generalization of the classical Leibniz formula. We construct an algorithm for the calculation of the part of the Taylor series of the double exponential map linear with respect to the second variable.
Key words: affine connection, connection on a vector bundle, higher covariant derivatives, composition of exponential maps.
Received: 07.08.2009
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 2, Pages 80–94
DOI: https://doi.org/10.3103/S1055134412020022
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: A. V. Gavrilov, “The Leibniz formula for the covariant derivative and some of its applications”, Mat. Tr., 13:1 (2010), 63–84; Siberian Adv. Math., 22:2 (2012), 80–94
Citation in format AMSBIB
\Bibitem{Gav10}
\by A.~V.~Gavrilov
\paper The Leibniz formula for the covariant derivative and some of its applications
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 1
\pages 63--84
\mathnet{http://mi.mathnet.ru/mt191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682768}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 2
\pages 80--94
\crossref{https://doi.org/10.3103/S1055134412020022}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:73
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