https://scholars.lib.ntu.edu.tw/handle/123456789/377627
Title: | On the existence of pseudoharmonic maps from pseudohermitian manifolds into riemannian manifolds with nonpositive sectional curvature | Authors: | Chang, S.-C. Chang, T.-H. SHU-CHENG CHANG |
Keywords: | CR Bochner identity; Energy density; Folland-Stein space; Pseudoharmonic map; Pseudoharmonic map heat flow; Pseudohermitian manifold; Pseudohermitian Ricci tensors; Pseudohermitian torsion; Sub-Laplacian | Issue Date: | 2013 | Journal Volume: | 17 | Journal Issue: | 1 | Start page/Pages: | 1-16 | Source: | Asian Journal of Mathematics | 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. |
URI: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84884309451&partnerID=MN8TOARS http://scholars.lib.ntu.edu.tw/handle/123456789/377627 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884309451&doi=10.4310%2fAJM.2013.v17.n1.a1&partnerID=40&md5=55233ae24a337e17be60e1adef280fe5 |
ISSN: | 10936106 | DOI: | 10.4310/AJM.2013.v17.n1.a1 |
Appears in Collections: | 數學系 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.