Weak solutions of complex Hessian equations on compact Hermitian manifolds
Complex Variables
2019-02-20 v2 Differential Geometry
Abstract
We prove the existence of weak solutions of complex Hessian equations on compact Hermitian manifolds for the nonnegative right hand side belonging to ( is the dimension of the manifold). For smooth, positive data the equation has been recently solved by Szekelyhidi and Zhang. We also give a stability result for such solutions.
Keywords
Cite
@article{arxiv.1507.06755,
title = {Weak solutions of complex Hessian equations on compact Hermitian manifolds},
author = {Slawomir Kolodziej and Ngoc Cuong Nguyen},
journal= {arXiv preprint arXiv:1507.06755},
year = {2019}
}
Comments
27 pages, accepted by Compos. Math