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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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 |
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| _version_ | 1832554269967908864 |
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| author | Zisheng Hu Yadong Jin Senlin Xu |
| author_facet | Zisheng Hu Yadong Jin Senlin Xu |
| author_sort | Zisheng Hu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-226c3f2897f54e6dbca225044bf9d8cb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-226c3f2897f54e6dbca225044bf9d8cb2025-02-03T05:51:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/758531758531A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its ApplicationsZisheng Hu0Yadong Jin1Senlin Xu2School of Mathematics and Computational Science, Shenzhen University, Shenzhen, Guangdong 518060, ChinaSchool of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou, Jiangsu 213001, ChinaDepartment of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, ChinaWe 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.http://dx.doi.org/10.1155/2010/758531 |
| spellingShingle | Zisheng Hu Yadong Jin Senlin Xu A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications International Journal of Mathematics and Mathematical Sciences |
| title | A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications |
| title_full | A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications |
| title_fullStr | A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications |
| title_full_unstemmed | A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications |
| title_short | A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications |
| title_sort | volume comparison estimate with radially symmetric ricci curvature lower bound and its applications |
| url | http://dx.doi.org/10.1155/2010/758531 |
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