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

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 Added by Yibin Ren
 Publication date 2017
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and research's language is English




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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-Sampsons 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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