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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1250–1262 (Mi smj1916)  
This article is cited in 6 scientific papers (total in 6 papers)

Higher covariant derivatives

A. V. Gavrilov

Siberian Independent Institute
Full-text PDF (334 kB) Citations (6)
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Abstract: We obtain a composition formula for the higher covariant derivatives on a vector bundle over a manifold. The formula generalizes the classical Leibniz product rule for the derivative. We also obtain, as a corollary, a generalization of the author's theorem about the double exponential map to the case of multiple maps.
Keywords: covariant derivation, affine connection, vector bundle.
Received: 18.04.2007
Revised: 03.09.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 997–1007
DOI: https://doi.org/10.1007/s11202-008-0096-7
Bibliographic databases:
UDC: 514.76
Language: Russian
Citation: A. V. Gavrilov, “Higher covariant derivatives”, Sibirsk. Mat. Zh., 49:6 (2008), 1250–1262; Siberian Math. J., 49:6 (2008), 997–1007
Citation in format AMSBIB
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\paper Higher covariant derivatives
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\pages 997--1007
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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