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arXiv · 1709.00718

Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds

Yibin Ren·Guilin Yang
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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.

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Yibin Ren, Guilin Yang. 2017-09-03. Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds. https://arxiv.org/abs/1709.00718

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