Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Kähler manifolds with curvature bounded from above by a decreasing function


Author: Mitsuhiro Itoh
Journal: Proc. Amer. Math. Soc. 75 (1979), 289-293
MSC: Primary 53C20; Secondary 32E10, 32F30, 53C55
MathSciNet review: 532153
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let M be a simply connected complete Kähler manifold. If M has curvature bounded from above by a certain positive decreasing function, then it is a Stein manifold, diffeomorphic to a euclidean space. This fact is a generalization of the well-known propositions for complete manifolds of nonpositive curvature and is shown by the aid of a Rauch comparison theorem for conjugate points together with a comparison theorem of Siu and Yau with respect to the Hessian of distance functions.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C20, 32E10, 32F30, 53C55

Retrieve articles in all journals with MSC: 53C20, 32E10, 32F30, 53C55


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0532153-8
PII: S 0002-9939(1979)0532153-8
Keywords: Sectional curvature, comparison theorem, Stein manifold
Article copyright: © Copyright 1979 American Mathematical Society