Exponentially Harmonic Maps, Gauss Maps and Gauss Sections

被引：3
|
作者：
Chiang, Yuan-Jen [1 ]
机构：
[1] Univ Mary Washington, Dept Math, Fredericksburg, VA 22401 USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期
关键词：
Exponentially harmonic map; Gauss map; Gauss section; EXISTENCE;
D O I：
10.1007/s00009-019-1408-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the relationship of Ricci form, exponential tension field and tension field of the Gauss map of an immersion from a Riemannian manifold into a Riemannian space form. We also study exponentially harmonic Gauss sections which are the critical points of the vertical exponential energy through arbitrary vertical variations. We calculate the first variation of vertical exponential energy functional and discuss some related material.
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页数：16
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