Hölder continuous potentials on manifolds with partially positive curvature-Reference-Cited by-同舟云学术

Hölder continuous potentials on manifolds with partially positive curvature

Published:2010-04-16 Issue:4 Volume:9 Page:705-718
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Dinew Sławomir

Abstract

AbstractIt is proved that solutions of the complex Monge–Ampère equation on compact Kähler manifolds with right hand side in Lp, p > 1, are uniformly Hölder continuous under the assumption on non-negative orthogonal bisectional curvature.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference21 articles.

1. On the Kähler-Ricci Flow on Projective Manifolds of General Type

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4. The complex Monge-Ampère equation

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