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Dergiler / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

Mus-Sasaki Metric and Harmonicity

Fethi LATTI
Mustapha DJAA
Abderrahim ZAGANE
Sayfa
29–36
DOI
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We also construct some examples of harmonic vector fields.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce the Mus-Sasaki metric on the tangent bundle TM, as a new natural metric on TM.
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Temel Bulgular & Veri:We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the Mus-Sasaki metric.
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Sonuç & Katkı:We also construct some examples of harmonic vector fields.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Horizontal lift · vertical lift · Mus-Sasaki metric

Abstract

In this paper, we introduce the Mus-Sasaki metric on the tangent bundle TM, as a new natural metric on TM. We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the Mus-Sasaki metric. We also construct some examples of harmonic vector fields.

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Bu Makaleye Atıf Yap

LATTI, F., DJAA, M., ZAGANE, A. (2018). Mus-Sasaki Metric and Harmonicity. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 29–36. https://ajindex.com/articles/283505

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Kaynakça (18)

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