Some Results of Biharmonic Maps

FENG Shu-xiang, PAN Hong

doi:10.13371/j.cnki.chin.q.j.m.2016.01.003

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 1: 19 - 26

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.003

Some Results of Biharmonic Maps

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College of Mathematics and Information Science, Xinyang Normal University

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.

Received date: 2014-09-19

Online published: 2020-11-12

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)；

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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

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FENG Shu-xiang, PAN Hong . Some Results of Biharmonic Maps[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(1) : 19 -26 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.003

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