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Some semi-Riemannian volume comparison theorems

Paul E. Ehrlich·Miguel Sanchez
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Abstract

Lorentzian versions of classical Riemannian volume comparison theorems by Gunther, Bishop and Bishop-Gromov, are stated for suitable natural subsets of general semi-Riemannian manifolds. The problem is more subtle in the Bishop-Gromov case, which is extensively discussed. For the general semi-Riemannian case, a local version of the Gunther and Bishop theorems is given and applied.

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Paul E. Ehrlich, Miguel Sanchez. 1998-11-27. Some semi-Riemannian volume comparison theorems. https://arxiv.org/abs/math/9811166

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