IUMJ

Title: The heat flow for H-systems on higher dimensional manifolds

Authors: Min-Chun Hong and Deliang Hsu

Issue: Volume 59 (2010), Issue 3, 761-790

Abstract:

In this paper, we investigate $H$-systems on higher dimensional Riemannian manifolds and their heat flow for a non-constant function $H$. We establish global existence and uniqueness of the solution of the $H$-system flow under certain conditions.