Global viscosity solutions of generalized Kahler-Ricci flow
Analysis of PDEs
2016-10-07 v1 Differential Geometry
Abstract
We apply ideas from viscosity theory to establish the existence of a unique global weak solution to the generalized Kahler-Ricci flow in the setting of commuting complex structures. Our results are restricted to the case of a smooth manifold with smooth background data. We discuss the possibility of extending these results to more singular settings, pointing out a key error in the existing literature on viscosity solutions to complex Monge-Ampere equations/Kahler-Ricci flow.
Keywords
Cite
@article{arxiv.1610.01950,
title = {Global viscosity solutions of generalized Kahler-Ricci flow},
author = {Jeffrey Streets},
journal= {arXiv preprint arXiv:1610.01950},
year = {2016}
}