17 research outputs found
The growth function of the volume of geodesic balls in Riemannian manifolds of hyperbolic type
Let (M;g) be a compact Riemannian manifold of hyperbolic type and X be its universal Riemannian covering. We study in this paper, the growth function of the geodesic balls of X. We show that the critical exponent of the group of deck transformations of X is equal to the volume entropy hg of M
Volume growth and closed geodesics on Riemannian manifolds of hyperbolic type
We study the volume growth function of geodesic spheres in the
universal Riemannian covering of a compact manifold of
hyperbolic type. Furthermore, we investigate the growth rate
of closed geodesics in compact manifolds of hyperbolic type
Relative nullity foliation of the screen distribution of lightlike Einstein hypersurfaces in Lorentzian spaces
This paper deals with results concerning the relative nullity foliation of the screen distribution of a lightlike Einstein hypersurface M in the Lorentzian space and gives a characterization theorem for the relative nullity spaces. Many differences from the Riemannian case are due to the fact that the metric in consideration is degenerate