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Proceedings of the Yerevan State University, series 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
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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.
Received: 18.09.2018
Accepted: 26.11.2018
Document Type: Article
MSC: Primary 58A05; Secondary 32B15
Language: English
Citation: O. Arabyan, “About a class of three-dimensional submanifolds in affine space $A^6$”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:3 (2018), 157–160
Citation in format AMSBIB
\Bibitem{Ara18}
\by O.~Arabyan
\paper About a class of three-dimensional submanifolds in affine space $A^6$
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2018
\vol 52
\issue 3
\pages 157--160
\mathnet{http://mi.mathnet.ru/uzeru483}
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