On a class of fully nonlinear elliptic equations on closed Hermitian manifolds

preprint2013arXivOpen access

Abstract

We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive C∞C^\infty {\em a priori} estimates, and then prove the existence of admissible solutions. In the approach, a new Hermitian metic is constructed to launch the method of continuity.

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