Some semi-Riemannian volume comparison theorems

Details Some semi-Riemannian volume comparison theorems Some semi-Riemannian volume comparison theorems

1998-11-27

arxiv.org/abs/math/9811166v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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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