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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2018 Volume 52, Issue 3, Pages 157–160 (Mi uzeru483)

Communications

About a class of three-dimensional submanifolds in affine space $A^6$

O. Arabyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: Three-dimensional submanifolds in affine space $A^6$ have been studied by the method of exterior forms. It is proved that the structure of total space induces a special type of affine connection on this submanifold. The structure equations of this submanifold have been found.

Keywords: affine connection, manifold, three-dimensional submanifold, linear differential forms, the method of exterior forms.

MSC: Primary 58A05; Secondary 32B15

Received: 18.09.2018
Accepted: 26.11.2018

Language: English



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