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Maximum principle for semi-elliptic trace operators and geometric applications

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Abstract

Based on ideas of L. Alías, D. Impera and M. Rigoli developed in [13], we present a fairly general weak/Omori-Yau maximum principle for trace operators. We apply this version of maximum principle to generalize several higher order mean curvature estimates and to give an extension of Alias-Impera-Rigoli Slice Theorem of [13, Thm. 16 and 21], see Theorems 5 and 6.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Ceará-UFC, 60455-760, Fortaleza, Ceará, Brazil

    G. Pacelli Bessa & Leandro F. Pessoa

Authors
  1. G. Pacelli Bessa
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  2. Leandro F. Pessoa
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Correspondence to G. Pacelli Bessa.

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Corresponding author. Research partially supported by CAPES-CNPq-Brazil.

Research partially supported by CAPES.

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Bessa, G.P., Pessoa, L.F. Maximum principle for semi-elliptic trace operators and geometric applications. Bull Braz Math Soc, New Series 45, 243–265 (2014). https://doi.org/10.1007/s00574-014-0047-9

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  • DOI: https://doi.org/10.1007/s00574-014-0047-9

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