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On functions which satisfy some differential inequalities on Riemannian manifolds

Published online by Cambridge University Press:  22 January 2016

Kanji Motomiya
Kanji Motomiya*
Affiliation:
Nagoya Institute of Technology
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Most of the problems in differential geometry can be reduced to problems in differential equations and differential inequalities on Riemannian manifolds. Our main purpose of this paper is to study such differential inequalities on complete Riemannian manifolds. In [5], H. Omori proved a very important theorem. S. Y. Cheng and S. T. Yau gave a simplification and a generalization of it which was called the generalized maximum principle in [2] and [7], and many interesting applications in differential geometry in [2], [3], [7], and [8].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 57 - 72
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

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