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Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds

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In this paper, we describe how pluripotential methods can be applied to study weak solutions of the complex Monge–Ampere equation on compact Hermitian manifolds. We indicate the differences between Kahler… Click to show full abstract

In this paper, we describe how pluripotential methods can be applied to study weak solutions of the complex Monge–Ampere equation on compact Hermitian manifolds. We indicate the differences between Kahler and non-Kahler setting. The results include a priori estimates, existence and stability of solutions.

Keywords: solutions monge; weak solutions; compact hermitian; hermitian manifolds; equation compact

Journal Title: International Journal of Mathematics
Year Published: 2017

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