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arXiv · 1311.3002

Parabolic Complex Monge-Ampère Type Equations on Closed Hermitian Manifolds

Wei Sun
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Abstract

We study the parabolic complex Monge-Ampère type equations on closed Hermitian manfolds. We derive uniform $C^\infty$ {\em a priori} estimates for normalized solutions, and then prove the $C^\infty$ convergence. The result also yields a way to carry out method of continuity for elliptic Monge-Ampére type equations.

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Wei Sun. 2013-11-13. Parabolic Complex Monge-Ampère Type Equations on Closed Hermitian Manifolds. https://arxiv.org/abs/1311.3002

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