Biharmonic holomorphic maps and conformally Kähler geometry

被引：0
|
作者：
M. Benyounes
E. Loubeau
R. Slobodeanu
机构：
[1] Université de Bretagne Occidentale,Département de Mathématiques
[2] University of Bucharest,Department of Theoretical Physics and Mathematics, Faculty of Physics
来源：
Israel Journal of Mathematics | 2014年 / 201卷
关键词：
Symplectic Manifold; Ahler Manifold; Warped Product; Sasakian Manifold; Hermitian Manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give conditions on the Lee vector field of an almost Hermitian manifold such that any holomorphic map from this manifold into a (1, 2)-symplectic manifold must satisfy the fourth-order condition of being biharmonic, hence generalizing the Lichnerowicz theorem on harmonic maps. These third-order non-linear conditions are shown to greatly simplify on l.c.K. manifolds and construction methods and examples are given in all dimensions.
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页码：525 / 542
页数：17
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