Existence of constant mean curvature graphs in hyperbolic space

From MaRDI portal
Publication:1290386

DOI10.1007/s005260050122zbMath0945.53008OpenAlexW2395306798MaRDI QIDQ1290386

Rafael López, Sebastían Montiel

Publication date: 20 September 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050122




Related Items (23)

Entire radially symmetric graphs with prescribed mean curvature in warped product spacesDouble CMC surfaces in Euclidean and hyperbolic spacesSpacelike graphs of prescribed mean curvature in the steady state spaceCharacterizations of immersed gradient almost Ricci solitonsRadial graphs over domains of \(\mathbb S^n\) with prescribed mean curvatureON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACECharacterizations of spacelike hyperplanes in the steady state space via generalized maximum principlesUniform a priori estimates for a class of horizontal minimal equationsOn the Gauss map of complete CMC hypersurfaces in the hyperbolic spaceOn the geometry of horospheresOn the umbilicity of complete constant mean curvature spacelike hypersurfacesKilling graphs with prescribed mean curvatureCharacterizing horospheres of the hyperbolic space via higher order mean curvaturesQuantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic spaceConformal Killing graphs with prescribed mean curvatureConstant mean curvature graphs in a class of warped product spacesOn the Gauss mapping of hypersurfaces with constant scalar curvature in \(\mathbb H^{n+1}\)A remark on the mean curvature of a graph-like hypersurface in hyperbolic spaceGradient estimates for the constant mean curvature equation in hyperbolic spaceNomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvatureUNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTSRevisiting the geometry of horospheres of the hyperbolic spaceAn extension of a theorem of Serrin to graphs in warped products




This page was built for publication: Existence of constant mean curvature graphs in hyperbolic space