On generalized Cheeger-Gromoll metric and harmonicity

On generalized Cheeger-Gromoll metric and harmonicity

In this paper, we introduce the Generalized Cheeger-Gromoll met- ric 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...

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Veröffentlicht in:Communications Series A1 Mathematics & Statistics 2020-01, Vol.69 (1), p.629-645
Hauptverfasser: ZAGANE, Abderrahim, DJAA, Mustapha, KADA BEN OTMANE, Reda
Format: Artikel
Sprache:eng
Schlagworte:
Matematik
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Zusammenfassung:In this paper, we introduce the Generalized Cheeger-Gromoll met- ric 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.
ISSN:1303-5991
DOI:10.31801/cfsuasmas.487296