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g-NATURAL METRIC AND HARMONICITY ON THE COTANGENT BUNDLE

Abderrahim Zagane|Mohammed Zagane
대한수학회 (The Korean Mathematical Society)|2021.01|대한수학회논문집 (Communications of the KMS)|제36권 제1호|pp. 135-147|DOI 10.4134/CKMS.c190423

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키워드

harmonic mapsHorizontal liftvertical liftcotangent bundlesg-natural metric
주제분류수학

초록

In this paper, we introduce the harmonicity of a covector field on a Riemannian manifold (M, g) to its cotangent bundle T ∗M equipped with g-natural metric. Afterward we also construct some examples of harmonic covector fields.

Abstract

In this paper, we introduce the harmonicity of a covector field on a Riemannian manifold (M, g) to its cotangent bundle T ∗M equipped with g-natural metric. Afterward we also construct some examples of harmonic covector fields.

참고문헌 (14)

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  10. Arif A. Salimov, "Some Properties of Sasakian Metrics in Cotangent Bundles", Mediterranean Journal of Mathematics, 8(2), pp.243~255 (2011), Springer Science and Business Media LLC[DOI]
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관련 논문AI추천

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