Geometry of Sasaki manifolds, Kahler cone manifolds and bi-harmonic submanifolds

被引：0
|
作者：
Urakawa, Hajime [1 ]
机构：
[1] Tohoku Univ, Div Math, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2015年 / 196卷
基金：
日本学术振兴会;
关键词：
Legendrian submanifold; Sasaki manifold; Lagrangian submanifold; Harmonic map; Bi-harmonic map; LAGRANGIAN SUBMANIFOLDS; LEGENDRIAN SUBMANIFOLDS; SPACE; HYPERSURFACES; MAPS;
D O I：
10.1016/j.topol.2015.11.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a Legendrian submanifold M of a Sasaki manifold N, we study harmonicity and bi-harmonicity of the corresponding Lagrangian cone submanifold C(M) of a Kahler manifold C(N). We show that, if C(M) is bi-harmonic in C(N), then it is harmonic; and M is proper hi-harmonic in N if and only if C(M) has a non-zero eigen-section of the Jacobi operator with the eigenvalue m = dim M. For more details, see [34]. (C) 2015 Published by Elsevier B.V.
引用
收藏
页码：1023 / 1032
页数：10
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