ON COMPLETE OPEN MANIFOLDS WITH NON-NEGATIVE CURVATURE ALONG RAY DIRECTIONS

The authors study complete open manifolds whose curvature is non-negative along ray directions. They prove that such manifold has infinite volume. Cheeger-Gromoll's splitting theorem is generalized. They also study topology of such manifolds.

Saved in:
Bibliographic Details
Published inActa mathematica scientia Vol. 18; no. 2; pp. 197 - 202
Main Author 徐森林 梅加强
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.1998
Subjects
Busemann function
Busemanu
convex
convex function
end
exhaustion
exhaustion function
function
Subharmonic
Subharmonic function
convex function
Subharmonic function
end
exhaustion function
Busemann function
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(17)30753-1

Cover

More Information
Summary:The authors study complete open manifolds whose curvature is non-negative along ray directions. They prove that such manifold has infinite volume. Cheeger-Gromoll's splitting theorem is generalized. They also study topology of such manifolds.
Bibliography:Xu Senlin; Mei Jiaqiang (Dept. of the Math., Univ. of Sci. & Tech. of China, Hefei 250026, China)
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30753-1