The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains

Harish Seshadri — 2006

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let Ω 1 and Ω 2 be strongly pseudoconvex domains in n and f : Ω 1 Ω 2 an isometry for the Kobayashi or Carathéodory metrics. Suppose that f extends as a C 1 map to Ω ¯ 1 . We then prove that f | Ω 1 : Ω 1 Ω 2 is a CR or anti-CR diffeomorphism. It follows that Ω 1 and Ω 2 must be biholomorphic or anti-biholomorphic.

Almost-Einstein manifolds with nonnegative isotropic curvature

Harish Seshadri — 2010

Annales de l’institut Fourier

Let ( M , g ) , n 4 , be a compact simply-connected Riemannian n -manifold with nonnegative isotropic curvature. Given 0 < l L , we prove that there exists ε = ε ( l , L , n ) satisfying the following: If the scalar curvature s of g satisfies l s L and the Einstein tensor satisfies Ric - s n g ε then M is diffeomorphic to a symmetric space of compact type. This is related to the result of S. Brendle on the metric rigidity of Einstein manifolds with nonnegative isotropic curvature.

Isotropic curvature: A survey

Harish Seshadri

Séminaire de théorie spectrale et géométrie

We discuss the notion of isotropic curvature of a Riemannian manifold and relations between the sign of this curvature and the geometry and topology of the manifold.

Page 1

Download Results (CSV)