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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 4, Pages 215–230
(Mi uzku780)
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On the Geometry of Submanifolds in $E^n_{2n}$
S. Haroutunian Armenian State Pedagogical University, Erevan, Republic of Armenia
Abstract:
A special class of $2m$-dimensional submanifolds in a $2n$-dimensional pseudo-Euclidean space with metric of signature $(n,n)$, known as a pseudo-Euclidean Rashevsky space, is studied. For such submanifolds, canonical integrals and parametric equations are found.
Keywords:
even-dimensional submanifolds, pseudo-Euclidean Rashevsky space, double fiber bundle, canonical integral, differential-geometric structure, fibration, foliation.
Received: 08.09.2009
Citation:
S. Haroutunian, “On the Geometry of Submanifolds in $E^n_{2n}$”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 215–230
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https://www.mathnet.ru/eng/uzku780 https://www.mathnet.ru/eng/uzku/v151/i4/p215
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Abstract page: | 292 | Full-text PDF : | 131 | References: | 21 |
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