Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold

Anais da Academia Brasileira de Ciências

Francisco X. Fontenele²  SÉrgio L. Silva¹ 

[1] ,Universidade Federal Fluminense Instituto de Matemática Departamento de GeometriaNiterói RJ ,Brazil

关键词: maximum principle;    hypersurface;    rth mean curvature;    princípio do máximo;    hipersuperfície;    r-ésima curvatura média;   

DOI  :  10.1590/S0001-37652002000200002

来源: SciELO

【 摘 要 】

In this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.

【 授权许可】

CC BY   
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