ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDS IN AFFINE SPACE $ A^6 $

O.A. Arabyan

doi:10.46991/PYSU:A/2018.52.3.157

ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDS IN AFFINE SPACE $ A^6 $

Authors

O.A. Arabyan Chair of Mathematics and Methodology of its Teaching, ASPU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2018.52.3.157

Keywords:

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

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.

Downloads

Published

2018-12-17

How to Cite

Arabyan, O. (2018). ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDS IN AFFINE SPACE $ A^6 $. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(3 (247), 157–160. https://doi.org/10.46991/PYSU:A/2018.52.3.157