On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature

Shu-Cheng Chang, Ting-Hui Chang

Type: Article

Publication Date: 2013-01-01

Citations: 15

DOI: https://doi.org/10.4310/ajm.2013.v17.n1.a1

Abstract

In this paper, we first derive a CR Bochner identity for the pseudoharmonic map heat flow on pseudohermitian manifolds.Secondly, we are able to prove existence of the global solution for the pseudoharmonic map heat flow from a closed pseudohermitian manifold into a Riemannian manifold with nonpositive sectional curvature.In particular, we prove the existence theorem of pseudoharmonic maps.This is served as the CR analogue of Eells-Sampson's Theorem for the harmonic map heat flow.

Locations

Project Euclid (Cornell University) - View - PDF
Asian Journal of Mathematics - View - PDF

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