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Volume :39 Issue : 2 2012      Add To Cart                                                                    Download

A remark on the Omori-Yau maximum principle

Auther : ALBERT BORBELY

ABSTRACT A Riemannian manifold is said to satisfy the Omori-Yau maximum principle if for any bounded function there is a sequence , such that , and . It is shown that if the Ricci curvature does not approach too fast the manifold satisfies the Omori-Yau maximum principle. This improves earlier necessary conditions. The given condition is quite optimal. Keywords: Maximum principle; Sicci convature.