RC-positivity and rigidity of harmonic maps into Riemannian manifolds
Differential Geometry
2018-09-13 v1
Abstract
In this paper, we show that every harmonic map from a compact K\"ahler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curvature is constant. In particular, there is no non-constant harmonic map from a compact K\"ahler manifold with positive holomorphic sectional curvature to a Riemannian manifold with non-positive complex sectional curvature.
Keywords
Cite
@article{arxiv.1809.04449,
title = {RC-positivity and rigidity of harmonic maps into Riemannian manifolds},
author = {Jun Wang and Xiaokui Yang},
journal= {arXiv preprint arXiv:1809.04449},
year = {2018}
}