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.