[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200018

ON DEFORMED-SASAKI METRIC AND HARMONICITY IN TANGENT BUNDLES

Boussekkine, Naima (Department of Mathematics University Center of Relizane)
Zagane, Abderrahim (Department of Mathematics University Center of Relizane)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 1019-1035 More about this Journal

Abstract

In this paper, we introduce the deformed-Sasaki metric on the tangent bundle TM over an m-dimensional Riemannian manifold (M, g), as a new natural metric on TM. We establish a necessary and sufficient conditions under which a vector field is harmonic with respect to the deformed-Sasaki Metric. We also construct some examples of harmonic vector fields.

Keywords

Horizontal lift and vertical lift; tangent bundles; deformed-Sasaki Metric; harmonic maps;

Citations & Related Records

Reference

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