JP Journal of Geometry and Topology
Volume 2, Issue 3, Pages 231 - 243
(November 2002)
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VOLUME COMPARISON WITH A SYMMETRIC SPACE AS A MODEL
X. Gual-Arnau (Spain) and R. Maso (Spain)
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Abstract:
We prove a comparison theorem for the volume of a Riemannian manifold using a symmetric space as a model. The curvature restrictions of this comparison depend on the roots of the symmetric space and the theorem generalizes the known results for some rank one symmetric spaces. |
| Keywords and phrases: comparison theorems, symmetric spaces, geodesic ball, volume, mean curvature. |
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