Abstract:
Quasi-hyperbolic spaces are projective spaces with decomposable absolute. In this paper, we analyze surfaces in such spaces using the method of external forms and the method of movable frames. Geometric characteristics of invariants of lines on such surfaces are found. Analogs of Foss surfaces are obtained.
Keywords:quasi-hyperbolic space, absolute, surface, canonical frame, invariant, line on the surface, geodesic line.