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

Year: 2026

Type: article

Abstract: 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.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1743355

Authors: Abderrahım Zagane, Medjahed Djilali

Institution: Ahmed Zabana University - Relizane

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7166703742

FWCI:

Cites: 12

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