Unicity of constant mean curvature hypersurfaces in some riemannian manifolds

From MaRDI portal
Publication:4270518

DOI10.1512/iumj.1999.48.1562zbMath0973.53048OpenAlexW1988450198WikidataQ115237127 ScholiaQ115237127MaRDI QIDQ4270518

Sebastían Montiel

Publication date: 28 November 1999

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/992.htm




Related Items

On Bernstein-type properties of complete hypersurfaces in weighted warped productsRigidity of complete hypersurfaces in warped product spaces via higher order mean curvaturesOn complete spacelike hypersurfaces in a semi-Riemannian warped productStrongly stable linear Weingarten hypersurfaces immersed in the hyperbolic spaceStability of mean curvature flow solitons in warped product spacesInverse mean curvature flows in warped product manifoldsA half-space type property in the Euclidean sphereConstant mean curvature surfaces in warped product manifoldsHeight estimates and topology at infinity of hypersurfaces immersed in a certain class of warped productsA spinorial characterization of hyperspheresEikonal hypersurfaces in the Euclidean \(n\)-spaceBifurcation and local rigidity of constant second mean curvature hypersurfaces in Riemannian warped productsRigidity of mean curvature flow solitons and uniqueness of solutions of the mean curvature flow soliton equation in certain warped productsOn Bernstein's problem of complete parabolic hypersurfaces in warped productsEigenvalue estimates for the stability operator of CMC compact surfaces in three-dimensional warped productsCritical point equation and closed conformal vector fieldsON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACERigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphsUniqueness of static decompositionsCurve shortening flows in warped product manifoldsCompact submanifolds in space formsWeighted isoperimetric inequalities in warped product manifoldsConformal vector fields and their applications to Einstein-type manifoldsLower bounds for the eigenvalues of the \(\operatorname{Spin}^c\) Dirac operator on manifolds with boundaryOn the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimesIsometric immersions into warped product spacesCurvature estimates for graphs in warped product spacesCharacterizations of spacelike hyperplanes in the steady state space via generalized maximum principlesAspects of mean curvature flow solitons in warped productsSome half-space theorems in the real projective spaceSharp estimates for the first stability eigenvalue of surfaces in the presence of a closed conformal vector fieldHopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifoldsCMC hypersurfaces with canonical principal direction in space formsOn Riemannian manifolds foliated by \((n-1)\)-umbilical hypersurfacesOn an inequality of Brendle in the hyperbolic spaceAn Obata singular theorem for stratified spacesRigidity of hypersurfaces and Moser-Bernstein type results in certain warped products, with applications to pseudo-hyperbolic spacesOn the mean curvature flow of submanifolds in the standard Gaussian spaceUnnamed ItemSome sphere theorems in linear potential theoryOn the geometry of horospheresIsoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifoldsOn the unicity of complete hypersurfaces immersed in a semi-Riemannian warped productRigidity of stable cylinders in three-manifoldsUniqueness of isometric immersions with the same mean curvatureCharacterizing horospheres of the hyperbolic space via higher order mean curvaturesUniqueness of entire graphs in Riemannian warped productsHorizontal Newton operators and high-order Minkowski formulaSubmanifolds immersed in a warped product with densityBernstein-type theorems in semi-Riemannian warped productsQuantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic spaceCharacterizations of umbilic hypersurfaces in warped product manifoldsA survey of closed self-shrinkers with symmetryMean curvature flow solitons in the presence of conformal vector fieldsSubmanifolds immersed in a warped product: Rigidity and nonexistenceParabolicity and uniqueness of complete two-sided hypersurfaces immersed in a Riemannian warped productOn Bernstein-type theorems in semi-Riemannian warped productsOn rigidity of hypersurfaces with constant curvature functions in warped product manifoldsHypersurfaces of constant higher order mean curvature in warped productsConstant mean curvature graphs in a class of warped product spacesEntire conformal Killing graphs in foliated Riemannian spacesUnnamed ItemOn the rigidity of constant mean curvature complete vertical graphs in warped productsAn isoperimetric comparison theorem for Schwarzschild space and other manifoldsIsoperimetric regions in conesHypersurfaces with a canonical principal directionOn the nullity of conformal Killing graphs in foliated Riemannian spacesA new characterization of geodesic spheres in the hyperbolic spaceUnnamed ItemMaximum principle for semi-elliptic trace operators and geometric applicationsHalf-space type theorems in warped product spaces with one-dimensional factorHigher-order Minkowski formula in complex space formsThe blow-up of the conformal mean curvature flowComplete hypersurfaces immersed in a semi-Riemannian warped productA new stability notion of closed hypersurfaces in the hyperbolic spaceTotally umbilical hypersurfaces of manifolds admitting a unit Killing fieldFoliations of doubly warped products by \(k\)-umbilical hypersurfacesUNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTSRevisiting the geometry of horospheres of the hyperbolic spaceOn the geometry of submanifolds in certain warped productsUniqueness of entire graphs in warped productsOptimal eigenvalues estimate for the Dirac operator on domains with boundary