On Complete Manifolds With Nonnegative Ricci Curvature

From MaRDI portal
Publication:3483959

DOI10.2307/1990957zbMath0704.53032OpenAlexW4237897282MaRDI QIDQ3483959

Detlef Gromoll, Uwe Abresch

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/1990957




Related Items (70)

Diameter growth and bounded topology of complete manifolds with nonnegative Ricci curvatureOn the regular-convexity of Ricci shrinker limit spacesAspects of global Riemannian geometryComparison theory of distance spheres along geodesicsA topological rigidity theorem on open manifolds with nonnegative Ricci curvatureApproximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functionsExistence of Einstein Metrics on Fano ManifoldsComparison theorem and integral of scalar curvature on three manifoldsOn radius, systole, and positive Ricci curvatureCompactness theorems for gradient Ricci solitonsA finiteness theorem for Ricci curvature in dimension threeA comparison-estimate of Toponogov type for Ricci curvatureFiniteness and vanishing theorems for complete open Riemannian manifoldsOn dimensions of tangent cones in limit spaces with lower Ricci curvature boundsThe Abresch-Gromoll inequality in a non-smooth settingOpen manifolds with asymptotically nonnegative Ricci curvature and large volume growthThe construction of \(\epsilon\)-splitting mapA class of cosmological models with spatially constant sign-changing curvatureLocal Sobolev constant estimate for integral Ricci curvature boundsUnnamed ItemPolynomial growth and asymptotic dimensionThe log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvatureStructure theory and convergence in Riemannian geometryNoncompact manifolds with nonnegative Ricci curvatureA note on the critical Laplace equation and Ricci curvatureBubble-tree convergence and local diffeomorphism finiteness for gradient Ricci shrinkersSharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applicationsThe fundamental groups of open manifolds with nonnegative Ricci curvatureMetrics of positive Ricci curvature with large diameterHausdorff convergence and universal coversA compactness theorem for complete Ricci shrinkersAn overview of the proof of the splitting theorem in spaces with non-negative Ricci curvatureVolume growth, Green's functions, and parabolicity of endsManifolds of nonnegative Ricci curvature and infinite topological typeFundamental groups of spaces with Bakry-Emery Ricci tensor bounded belowComparison geometry for an extension of Ricci tensorLi-Yau gradient bounds on compact manifolds under nearly optimal curvature conditionsHarmonic functions on connected sums of manifoldsHausdorff perturbations of Ricci-flat manifolds and the splitting theoremAlexandrov spaces with large volume growthOn Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvatureManifolds of Positive Ricci Curvature with Almost Maximal VolumeNew Extremal Problems for the Riemannian Recognition Program via Alexandrov GeometryBall Covering on Manifolds With Nonnegative Ricci Curvature Near InfinityThe Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvatureVolume growth and the topology of manifolds with nonnegative Ricci curvatureUnnamed ItemEnds of Riemannian manifolds with nonnegative Ricci curvature outside a compact setVolume growth and the topology of pointed Gromov-Hausdorff limitsA Gap Theorem for Ends of Complete ManifoldsEmbeddings of Riemannian Manifolds with Heat Kernels and EigenfunctionsA Bakry-Émery almost splitting result with applications to the topology of black holesTotal curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. IIUniversal covers for Hausdorff limits of noncompact spacesOn manifolds with quadratic curvature decayGeometric measure theory and manifolds of nonnegative Ricci curvatureLocal estimate of fundamental groupsNew volume comparison results and applications to degeneration of Riemannian metricsA Pinching Theorem for Homotopy SpheresOn the fundamental group of complete manifolds with almost Euclidean volume growthExamples with bounded diameter growth and infinite topological typeOn the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-spaceOn sufficient conditions to extend Huber's finite connectivity theorem to higher dimensionsMinimal hypersurfaces in manifolds of Ricci curvature bounded belowManifolds of almost nonnegative curvatureThe manifolds with nonnegative Ricci curvature and collapsing volumeSPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACESSemi-local simple connectedness of non-collapsing Ricci limit spacesOpen manifolds of nonnegative curvatureAnalysis and geometry on manifolds with integral Ricci curvature bounds. II



Cites Work


This page was built for publication: On Complete Manifolds With Nonnegative Ricci Curvature