Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (1): 19-26.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.003

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Some Results of Biharmonic Maps

  

  1. College of Mathematics and Information Science, Xinyang Normal University
  • Received:2014-09-19 Online:2016-03-30 Published:2020-11-12
  • About author:FENG Shu-xiang(1978-), female, native of Heze, Shandong, a lecturer of Xinyang Normal University, M.S.D., engages in di®erential geometry; PAN Hong(1980-), female, native of Zaozhuang, Shandong, a lecturer of Xinyang Normal University, M.S.D., engages in di®erential geometry.
  • Supported by:
    Supported by the Natural Natural Science Foundation of China(11201400); Supported by the Basic and Frontier Technology Research Project of Henan Province(142300410433); Supported by the Project for Youth Teacher of Xinyang Normal University(2014-QN-061);

Abstract: In this paper, we investigate biharmonic maps from a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. We obtain some non-existence results for these maps. 

Key words: biharmonic maps, harmonic map

CLC Number: