ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDSIN AFFINE SPACE A6

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ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDSIN AFFINE SPACE A6 Ofelya Arabyan

Three-dimensional submanifolds in affine space A6 have been studied by themethod of exterior forms. It is proved that the structure of total space induces aspecial type of affine connection on this submanifold. The structure equationsof this submanifold have been found.

DOI: 10.46991/PYSU:A/2018.52.3.157 Physical and Mathematical Sciences, 52(3 (247) 157-160

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Keywords

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

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