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Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1

Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle

Abderrahim ZAGANE
Sayfa
183–195
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also construct some examples of harmonic vector fields. we also study the harmonicity of a map between a Riemannian manifold and a cotangent bundle of another Riemannian manifold and vice versa.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraKähler manifold $(M, \varphi, g)$.
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Temel Bulgular & Veri:We establish a necessary and sufficient conditions under which a covector field is harmonic with respect to the Berger type deformed Sasaki metric.
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Sonuç & Katkı:We also construct some examples of harmonic vector fields. we also study the harmonicity of a map between a Riemannian manifold and a cotangent bundle of another Riemannian manifold and vice versa.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cotangent bundles · horizontal lift and vertical lift · Berger type deformed Sasaki metric

Abstract

In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over an anti-paraKähler manifold $(M, \varphi, g)$. We establish a necessary and sufficient conditions under which a covector field is harmonic with respect to the Berger type deformed Sasaki metric. We also construct some examples of harmonic vector fields. we also study the harmonicity of a map between a Riemannian manifold and a cotangent bundle of another Riemannian manifold and vice versa.

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Bu Makaleye Atıf Yap

ZAGANE, A. (2022). Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 183–195. https://ajindex.com/articles/539586

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Kaynakça (13)

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