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 $R1n+2$ 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

Remarks on an identity by R. Schoen and others

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Uniform bounds of the spectrum of Dirac operators

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