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: Dukazahn Doulmaran
Country: Tunisia
Language: English (Spanish)
Genre: Business
Published (Last): 23 September 2005
Pages: 456
PDF File Size: 7.50 Mb
ePub File Size: 19.35 Mb
ISBN: 373-9-32692-666-7
Downloads: 74418
Price: Free* [*Free Regsitration Required]
Uploader: Akinomi

Anderson – Convergence and rigidity of metrics under Ricci curvature boundsInvent.

Mathematics > Differential Geometry

A course in metric geometryvol. On the geometry of metric measure spaces I, II.

BesseEinstein manifoldsErgebn. Peters – Convergence of Riemannian manifoldsCompositio Math. Transport inequalities, gradient estimates, entropy and Ricci curvature. Katsuda – Gromov’s convergence theorem and its applicationsNagoya Math.


MR [23] G. Avec un appendice de M. SampsonHarmonic mappings of Riemannian manifoldsAmer. Fukaya – Collapsing Riemannian manifolds and eigenvalues of the Laplace operatorInv. Colding – Large manifolds with positive Ricci curvatureInvent.

Volumes, courbure de Ricci et convergence des variétés

On the structure of spaces with Ricci curvature bounded below. MR [5] P. Numdam MR Zbl Milano 619— HuiskenFlow by cuorbure curvature of convex surfaces into spheresJ. Polar factorization and monotone rearrangement of vector-valued functions. Balls have the worst Sobolev inequalities.

[math/] Pincements en courbure de Ricci positive

KazdanSome regularity theorems in Riemannian geometryAnn. Ivanov – On asymptotic volume of Tor i, Geom.

Paris Journals Seminars Books Theses Authors. EhrlichMetric deformations of curvature II: HamiltonThe inverse function theorem of Nash and MoserBull.

Crittenden – Geometry of ManifoldsAcademic Press About Help Legal notice Contact. A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Ivanov – Riemannian tori without conjugate points are flatGeom. Perelman – Construction of manifolds of positive Ricci curvature with big volume and large Betti numberspreprint.


Transport optimal et courbure de Ricci

EhrlichMetric deformations of curvature I: Colding – Lower bounds on Dicci curvature and the almost rigidity of warped productsAnn. Yau – Differential equations on Riemannian manifolds and their geometric applicationsComm.

Math Yamaguchi – A new version of the differentiable sphere theoremInvent. References [1] Ambrosio, L.

Nondivergent elliptic equations on manifolds with nonnegative curvature.