ON GENERALIZED CHEEGER-GROMOLL METRIC AND HARMONICITY

被引：1
|
作者：
Ben Otmane, R. Kada [1 ]
Zagane, A. [2 ]
Djaa, M. [3 ]
机构：
[1] Mascara Univ, Dept Math, Mascara 29000, Algeria
[2] Univ Oran1 Ahmed Ben Bella, Dept Math, Oran 31000, Algeria
[3] Relizane Univ, Dept Math, Relizane 48000, Algeria
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2020年 / 69卷 / 01期
关键词：
Horizontal lift; vertical lift; generalized Cheeger-Gromoll metric; harmonic maps; TANGENT-BUNDLES; MANIFOLDS;
D O I：
10.31801/cfsuasmas.487296
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the Generalized Cheeger-Gromoll metric on the tangent bundle TM, as a natural metric on TM. We establish a necessary and sufficient conditions under which a vector field is harmonic with respect to the Generalized Cheeger-Gromoll metric. We also construct some examples of harmonic vector fields.
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页码：629 / 645
页数：17
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