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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 1, Pages 81–93
(Mi fpm1292)
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This article is cited in 1 scientific paper (total in 1 paper)
$r$-tuple almost product structures
A. G. Kushnerab a Institute of Control Sciences, Russian Academy of Sciences
b Astrakhan State University
Abstract:
A generalization of an almost product structure and an almost complex structure on smooth manifolds is constructed. The set of tensor differential invariants of type $(2,1)$ and the set of the differential 2-forms for such structures are constructed. We show how these tensor invariants can be used to solve the classification problem for Monge–Ampère equations and Jacobi equations.
Citation:
A. G. Kushner, “$r$-tuple almost product structures”, Fundam. Prikl. Mat., 16:1 (2010), 81–93; J. Math. Sci., 177:4 (2011), 569–578
Linking options:
https://www.mathnet.ru/eng/fpm1292 https://www.mathnet.ru/eng/fpm/v16/i1/p81
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Abstract page: | 316 | Full-text PDF : | 128 | References: | 44 | First page: | 2 |
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