Volume comparison theorems for manifolds with radial curvature bounded

Title:

Volume comparison theorems for manifolds with radial curvature bounded

Creator:

Mao, Jing

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8738bb17-8cbe-41ab-8023-4451eec74b15
uuid:8738bb17-8cbe-41ab-8023-4451eec74b15
issn:0011-4642

Subject:

matematika, mathematics, radiální zakřivení, spherically symmetric manifolds, radial Ricci curvature, radial sectional curvature, volume comparison, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume comparisons are made between annulus or geodesic balls on the original manifold and those on the model space., Jing Mao., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

71-86

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false