Abstract: We show that a complete Riemannian manifold of dimension with $\Ric\ geq n{-}1$ and its -st eigenvalue close to is both. Abstract: We show that for n dimensional manifolds whose the Ricci curvature is greater or equal to n-1 and for k in {1,,n+1}, the k-th. We show that a complete Riemannian manifold of dimension $n$ with $\Ric\geq n{-}1$ and its $n$-st eigenvalue close to $n$ is both Gromov-Hausdorff close.
| Author: | Keran Gorg |
| Country: | Swaziland |
| Language: | English (Spanish) |
| Genre: | Love |
| Published (Last): | 8 March 2004 |
| Pages: | 386 |
| PDF File Size: | 11.71 Mb |
| ePub File Size: | 7.84 Mb |
| ISBN: | 285-1-93714-883-8 |
| Downloads: | 7946 |
| Price: | Free* [*Free Regsitration Required] |
| Uploader: | Tak |
KarcherCurvature operators: Anderson – Convergence and rigidity of metrics under Ricci curvature boundsInvent.
EhrlichMetric deformations of curvature II: Colding – Shape of manifolds with positive Ricci curvatureInvent. KazdanSome regularity theorems in Riemannian geometryAnn. RuhRiemannian manifolds with bounded curvature ratiosJ. YamabeOn a deformation of Riemannian structures on compact manifoldsOsaka J. Sign and geometric meaning of curvature.
Transport optimal et courbure de Ricci
A course in metric geometryvol. Yamaguchi – The fundamental groups of almost nonnegatively curved manifoldsAnn. Cheeger – Finiteness theorems for Riemannian manifoldsAm. Transport inequalities, gradient estimates, entropy and Ricci curvature.
Yamaguchi – A new version of fe differentiable sphere theoremInvent. Gradient flows in metric spaces and in the space of probability measures. Katsuda – Gromov’s convergence theorem and its applicationsNagoya Math. Var Partial Differential Equations. EliassonOn variations of metricsMath. HamiltonThe inverse function theorem of Nash and MoserBull. Ivanov – Riemannian tori without conjugate points are flatGeom.
MR [5] P. DeturckDeforming metrics in the direction of their Ricci tensorsJ.
Gromoll – The splitting theorem for manifolds of nonnegative Ricci curvatureJourn. MR Zbl Journals Seminars Books Theses Authors. Ivanov – On asymptotic volume of Tor i, Geom.
Mathematics > Differential Geometry
SampsonHarmonic mappings of Riemannian manifoldsAmer. About Help Legal notice Contact. About Help Legal notice Contact. Ricci curvature for metric-measure spaces via optimal transport.
Polar factorization of maps on Riemannian manifolds. Colding – Ricci curvature and volume convergenceAnn. Peters – Convergence of Riemannian manifoldsCompositio Math. On the geometry of metric measure spaces I, II. Fukaya – Theory of convergence for Riemannian orbifoldsJapan.
EUDML | Transport optimal et courbure de Ricci
Fukaya – Collapsing Riemannian manifolds and eigenvalues of the Laplace operatorInv. Petersen – A radius sphere theoremInventiones Math. Berger – Riemannian geometry during the second half of the centurypreprint. Colding – Lower bounds on Ricci curvature and the almost rigidity of warped productsAnn. HamiltonFour-manifolds with positive curvature operatorPreprint, U. RuhCurvature deformationsPreprint, Bonn University HuiskenFlow by mean curvature of convex surfaces into spheresJ.
MR [25] Otto, F. Press, Princeton Perelman – Alexandrov’s spaces with curvature bounded below IIpreprint.
Avec un appendice de M. Shiohama – A sphere theorem for manifolds of positive Ricci curvatureTrans. Wu – Geometric finiteness theorems via controlled topologyInv. EhrlichMetric deformations of curvature I: Springer-Verlag, New York, Topics in optimal transportationvol. Zbl [11] Cordero-Erausquin, D.
Probability and its applications.
Transport optimal et courbure de Ricci. Dedicata 5 Yamaguchi – Manifolds of almost nonnegative Ricci curvatureJourn.