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Hölder continuous potentials on manifolds with partially positive curvature

Part of: Pluripotential theory

Published online by Cambridge University Press:  16 April 2010

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

Keywords

Kähler manifoldbisectional curvaturecomplex Monge–Ampère equation

MSC classification

Secondary: 32U15: General pluripotential theory
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 4 , October 2010 , pp. 705 - 718
Copyright
Copyright © Cambridge University Press 2010

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