Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds
Differential Geometry
2017-09-05 v1
Abstract
In this paper, we discuss the heat flow of a pseudo-harmonic map from a closed pseudo-Hermitian manifold to a Riemannian manifold with non-positive sectional curvature, and prove the existence of the pseudo-harmonic map which is a generalization of Eells-Sampson's existence theorem. We also discuss the uniqueness of the pseudo-harmonic representative of its homotopy class which is a generalization of Hartman theorem, provided that the target manifold has negative sectional curvature.
Keywords
Cite
@article{arxiv.1709.00718,
title = {Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds},
author = {Yibin Ren and Guilin Yang},
journal= {arXiv preprint arXiv:1709.00718},
year = {2017}
}