RC-positivity and rigidity of harmonic maps into Riemannian manifolds

Jun Wang; Xiaokui Yang

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arXiv · 1809.04449

RC-positivity and rigidity of harmonic maps into Riemannian manifolds

Jun Wang·Xiaokui Yang

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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.

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Jun Wang, Xiaokui Yang. 2018-09-12. RC-positivity and rigidity of harmonic maps into Riemannian manifolds. https://arxiv.org/abs/1809.04449

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