DOI: 10.47000/tjmcs.1743355 ISSN: 2148-1830

Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric

Abderrahım Zagane, Medjahed Djilali
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In this paper, we investigate some harmonicity properties of a covector field in the cotangent bundle endowed with the horizontally deformed Sasaki metric, and then we establish necessary and sufficient conditions for a covector field to be a harmonic map (or harmonic covector field) concerning this metric. We also provide explicit examples of such harmonic covector fields to illustrate the theoretical results.

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