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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009 Volume 151, Book 4, Pages 215–230 (Mi uzku780)

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.

UDC: 514.76

Received: 08.09.2009

Language: English



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