ABOUT A CLASS OF THREE-DIMENSIONAL SUBMANIFOLDSIN AFFINE SPACE A6

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Submitted: 2025-01-30; Published: 2025-01-30

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Abstract

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.