On generalized Cheeger-Gromoll metric and harmonicity
No Thumbnail Available
Files
Date
2020-06-30
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
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.
Description
Keywords
Horizontal lift, Vertical lift, Generalized Cheeger-Gromoll metric