Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A short proof of Berger's curvature tensor estimates


Author: Hermann Karcher
Journal: Proc. Amer. Math. Soc. 26 (1970), 642-644
MSC: Primary 53.72
DOI: https://doi.org/10.1090/S0002-9939-1970-0270304-5
MathSciNet review: 0270304
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A simple proof of Berger's estimate of the curvature tensor components in terms of the pinching is given and the result is extended to nonorthonormal arguments of the curvature tensor.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53.72

Retrieve articles in all journals with MSC: 53.72


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0270304-5
Keywords: Curvature tensor identities, sectional curvature, pinching, curvature tensor norm, estimation of curvatures tensor components
Article copyright: © Copyright 1970 American Mathematical Society