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Hölder continuous potentials on manifolds with partially positive curvature

Published online by Cambridge University Press:  16 April 2010

Sławomir Dinew
Affiliation:
Institute of Mathematics, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland, (slawomir.dinew@im.uj.edu.pl)

Abstract

It 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.

MSC classification

Type
Research Article
Copyright
Copyright © Cambridge University Press 2010

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