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March 2013 On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature
Shu-Cheng Chang, Ting-Hui Chang
Asian J. Math. 17(1): 1-16 (March 2013).

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.

Citation

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Shu-Cheng Chang. Ting-Hui Chang. "On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature." Asian J. Math. 17 (1) 1 - 16, March 2013.

Information

Published: March 2013
First available in Project Euclid: 8 November 2013

zbMATH: 1304.32024
MathSciNet: MR3038722

Subjects:
Primary: 32V05, 32V20
Secondary: 53C56

Rights: Copyright © 2013 International Press of Boston

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Vol.17 • No. 1 • March 2013
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