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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 2, Pages 61–66 (Mi fpm1307)  

On conditions of the coincidence of curvatures of the first and second types on distribution of planes

O. M. Omelyan

Immanuel Kant State University of Russia
References:
Abstract: We consider distributions of planes in a multidimensional projective space and construct the curvatures of the first and second types of group connections induced by composite equipments of the distributions. Conditions of the coincidence of these curvatures are found. An internal composite equipment of a distribution of planes is performed. We prove that this equipment induces the internal curvatures of the first and second types in the principal fiber bundle.
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 177, Issue 5, Pages 688–691
DOI: https://doi.org/10.1007/s10958-011-0497-1
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: O. M. Omelyan, “On conditions of the coincidence of curvatures of the first and second types on distribution of planes”, Fundam. Prikl. Mat., 16:2 (2010), 61–66; J. Math. Sci., 177:5 (2011), 688–691
Citation in format AMSBIB
\Bibitem{Ome10}
\by O.~M.~Omelyan
\paper On conditions of the coincidence of curvatures of the first and second types on distribution of planes
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 2
\pages 61--66
\mathnet{http://mi.mathnet.ru/fpm1307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2786517}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 177
\issue 5
\pages 688--691
\crossref{https://doi.org/10.1007/s10958-011-0497-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052388065}
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  • https://www.mathnet.ru/eng/fpm/v16/i2/p61
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    Фундаментальная и прикладная математика
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