Geometry on real projective Cayley-Klein spaces

Abstract

We investigate several topics of the geometry on real Cayley-Klein spaces. An important concern for us is to define a distance function on the projective space in such a way that the distance between two anisotropic subspaces of the same dimension can be easily calculated and case distinctions are avoided as far as possible.

arXiv comment32 pages / 4 figures - Revision: Several changes, mainly typographical corrections and stylistic changes, have been made. In the last subsection, a more detailed case distinction was required