On complete graphs with negative r-mean curvature

DOI10.1090/S0002-9939-00-05671-9zbMath0948.53033MaRDI QIDQ4942918

Maria Fernanda Elbert

Publication date: 15 March 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

scalar curvatureCheeger constantcomplete graphnegative Gaussian curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\), Heinz type estimates for graphs in Euclidean space, Curvature estimates for graphs over Riemannian domains, On the behavior of complete graphs in \({\mathbb{R}^{n+1}}\) with \(L^{p}\)-finite \(r\)-curvature, Sharp estimates for the size of balls in the complement of a hypersurface