Hölder continuous potentials on manifolds with partially positive curvature

Mathematics – Complex Variables

Scientific paper

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11 pages

Scientific paper

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

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