A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications

Joint Authors

Hu, Zisheng
Xu, Senlin
Jin, Yadong

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-04-27

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Hu, Zisheng& Jin, Yadong& Xu, Senlin. 2010. A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-496437

Modern Language Association (MLA)

Hu, Zisheng…[et al.]. A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-496437

American Medical Association (AMA)

Hu, Zisheng& Jin, Yadong& Xu, Senlin. A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-496437

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496437