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H\"older continuous potentials on manifolds with partially positive curvature

Complex Variables 2009-04-20 v1 Differential Geometry

Abstract

It is proved that solutions of the complex Monge-Amp\`ere equation on compact K\"ahler manifolds with right hand side in Lp,p>1L^p, p>1 are uniformly H\"older continuous under the assumption on non-negative orthogonal bisectional curvature.

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Cite

@article{arxiv.0904.2578,
  title  = {H\"older continuous potentials on manifolds with partially positive curvature},
  author = {Slawomir Dinew},
  journal= {arXiv preprint arXiv:0904.2578},
  year   = {2009}
}

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11 pages