Abstract:
We study intrinsic geometry of hypersurfaces embedded into a projectively metric space $K_n$, $n\ge3$, and normalized in the sense of A. P. Norden and E. Cartan. We construct affine and projective connections on $V_{n-1}$ induced by normalizations of the indicated types and find conditions under which the induced connections are flat.
Keywords:projectively metric space, duality, normalizations of a hypersurface, affinely connected space, projectively connected space, space of constant curvature.
Fulltext:
PDF file (225 kB)