Some semi-Riemannian volume comparison theorems
Ehrlich, Paul E. ; Sánchez, Miguel
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 331-348 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  53C50,  53C20,  53C21 
@article{1178207817,
     author = {Ehrlich, Paul E. and S\'anchez, Miguel},
     title = {Some semi-Riemannian volume comparison theorems},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 331-348},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207817}
}

Ehrlich, Paul E.; Sánchez, Miguel. Some semi-Riemannian volume comparison theorems. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  331-348. http://gdmltest.u-ga.fr/item/1178207817/