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math.DG2012
Curvature estimates for properly immersed -bounded submanifolds
G. Pacelli Bessa, Barnabe P. Lima, Leandro F. Pessoa
Jorge-Koutrofiotis and Pigola-Rigoli-Setti proved sharp sectional curvature estimates for extrinsically bounded submanifolds. Alias, Bessa and Montenegro showed that these estimate…
math.DG2012★ 4 cited
On the Omori-Yau Maximum Principle and Geometric Applications
Barnabe Pessoa LIma, Leandro De Freitas Pessoa
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 generalizati…