Biharmonic holomorphic maps into Kahler manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Han, Deliang¹ 

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

关键词: Biharmonic maps;    Holomorphic maps;    Kahler manifolds;    Holomorphic bisectional curvature;    Second variation formula;   

DOI  :  10.1016/j.geomphys.2017.04.009

来源: Elsevier

【 摘 要 】

We study biharmonic holomorphic maps from an almost Hermitian manifold into a Kahler manifold. First, by a simple observation of the curvature term in the biharmonic equation, we establish non-existence results of biharmonic holomorphic maps into Kahler manifolds with non-positive holomorphic bisectional curvature, which extend the similar results of biharmonic maps between Riemannian manifolds. Second, by applying the second variation formula of biharmonic maps, we prove a non-existence result of stable biharmonic holomorphic maps into complex projective space. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

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