A class of harmonic submersions and minimal submanifolds

被引：13
|
作者：
Aprodu, MA
Aprodu, M
Brînzanescu, V
机构：
[1] Univ Galati, Dept Math, RO-6200 Galati, Romania
[2] Romanian Acad, Inst Math Simion Stoilow, RO-70700 Bucharest, Romania
[3] IHES, Bures Sur Yvette, France
[4] Univ Bayreuth, Bayreuth, Germany
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2000年 / 11卷 / 09期
关键词：
harmonic maps; PHWC maps; Kahler manifolds; minimal submanifolds;
D O I：
10.1142/S0129167X0000057X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the class of pseudo-horizontally homothetic maps from a Riemann manifold to a Kahler manifold, and we study some of their properties. For example, we prove that a pseudo-horizontally homothetic submersion is harmonic if and only if it has minimal fibres, and a pseudo-horizontally homothetic harmonic submersion pulls back complex submanifolds into minimal submanifolds.
引用
收藏
页码：1177 / 1191
页数：15
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