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arxiv: 1201.1675 · v1 · pith:PS77DCVFnew · submitted 2012-01-09 · 🧮 math.DG

On the Omori-Yau Maximum Principle and Geometric Applications

classification 🧮 math.DG
keywords maximumomori-yauprincipleversionalias-bessa-dajczeralias-bessa-montenegroalias-dajczeralias-impera-rigoli
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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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