Acta mathematica scientia,Series B ›› 2024, Vol. 44 ›› Issue (5): 1955-1964.doi: 10.1007/s10473-024-0519-y

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THE EXISTENCE OF PSEUDOHARMONIC MAPS FOR SMALL HORIZONTAL ENERGY*

Biqiang Zhao   

  1. Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China
  • Received:2022-10-10 Revised:2024-06-05 Online:2024-10-25 Published:2024-10-22
  • About author:Biqiang Zhao, E-mail,: 17110840003@fudan.edu.cn
  • Supported by:
    NSFC (11771087 and 12171091).

Abstract: In this paper, we consider pseudoharmonic heat flow with small initial horizontal energy and give the existence of pseudoharmonic maps from closed pseudo-Hermitian manifolds into closed Riemannian manifolds.

Key words: pseudoharmonic map, pseudoharmonic heat flow, small horizontal energy

CLC Number: 

  • 32V20
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