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

DOI10.1590/S0001-37652002000200002zbMath1013.53042WikidataQ115235113 ScholiaQ115235113MaRDI QIDQ4550045

Sérgio L. Silva, Francisco Fontenele

Publication date: 6 July 2003

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

maximum principle\(r\)th mean curvaturehypersurface of Riemannian manifolds

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (1)

Hypersurfaces with \(H_{r+1}=0\) in \(\mathbb H^n\times\mathbb R\)

Cites Work

• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• The maximum principle for hypersurfaces with vanishing curvature functions
• Two-ended hypersurfaces with zero scalar curvature

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