On the existence of pseudoharmonic maps from pseudohermitian manifolds into riemannian manifolds with nonpositive sectional curvature
Journal
Asian Journal of Mathematics
Journal Volume
17
Journal Issue
1
Pages
1-16
Date Issued
2013
Author(s)
Chang, T.-H.
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. © 2013 International Press.
Subjects
CR Bochner identity; Energy density; Folland-Stein space; Pseudoharmonic map; Pseudoharmonic map heat flow; Pseudohermitian manifold; Pseudohermitian Ricci tensors; Pseudohermitian torsion; Sub-Laplacian
Type
journal article