Abstract
Lorentzian versions of classical Riemannian volume comparison theorems by Günther, 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 Günther and Bishop theorems is given and applied.
Citation
Paul E. Ehrlich. Miguel Sánchez. "Some semi-Riemannian volume comparison theorems." Tohoku Math. J. (2) 52 (3) 331 - 348, 2000. https://doi.org/10.2748/tmj/1178207817
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