On the Omori-Yau Maximum Principle and Geometric Applications

Details On the Omori-Yau Maximum Principle and Geometric Applications On the Omori-Yau Maximum Principle and Geometric Applications

2012-01-09

arxiv.org/abs/1201.1675v1

Mathematics

Differential Geometry

Scientific paper

We introduce a version of the Omori-Yau maximum principle which generalizes
the version obtained by Pigola-Rigoli-Setti 21. We apply our method to derive a
non-trivial generalization Jorge-Koutrofiotis Theorem 15 for cylindrically
bounded submanifolds due to Alias-Bessa-Montenegro 2, we extend results due to
Alias-Dajczer 5, Alias-Bessa-Dajczer 1 and Alias-Impera-Rigoli 6.

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