On the geometric flows solving K\"ahlerian inverse $\sigma_k$ equations
Differential Geometry
2012-03-13 v1 Analysis of PDEs
Complex Variables
Abstract
In this note, we extend our previous work on the inverse problem. Inverse problem is a fully nonlinear geometric PDE on compact K\"ahler manifolds. Given a proper geometric condition, we prove that a large family of nonlinear geometric flows converges to the desired solution of the given PDE.
Keywords
Cite
@article{arxiv.1203.2571,
title = {On the geometric flows solving K\"ahlerian inverse $\sigma_k$ equations},
author = {Hao Fang and Mijia Lai},
journal= {arXiv preprint arXiv:1203.2571},
year = {2012}
}
Comments
to appear in Pacific Journal of Mathematics