A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications
We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of manifolds with nonasymptotically almost nonnegative R...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/758531 |
| Summary: | We extend the classical Bishop-Gromov volume comparison from constant
Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and
apply it to investigate the volume growth, total Betti number, and finite topological
type of manifolds with nonasymptotically almost nonnegative Ricci curvature. |
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| ISSN: | 0161-1712 1687-0425 |