On a hypersurface in the space of applied covectors

The present paper continues a series of the author's publications devoted to immersions of various manifolds into point-vector spaces (see examples in the list of references [2,3,7]). A six-dimensional point-vector space D6 is constructed for the original three-dimensional affine space. A point of the space is an applied covector and a vector is an ordered couple composed of a vector and a covector. A hypersurface of the obtained space contains pseudo-Riemannian metrics induced by the intrinsic metrics of space D6. A connection of the hypersurface called natural has been built, as well as the Levi-Civita connection. Geodesic lines of both connections are examined (for the first one, up to the full characterization).

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