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.

引用

页码：629 / 645

页数：17

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