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Dergiler / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 36 Issue: 2

DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Haşim Çayır(GIRESUN UNIVERSITY)0000-0003-0348-8665
Sayfa
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Yayın Tarihi
2018-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
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Temel Bulgular & Veri:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
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Sonuç & Katkı:Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Covarient derivative · lie derivative · Cheeger-Gromoll metric

Abstract

In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

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Bu Makaleye Atıf Yap

Çayır, H. (2018). DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. Sigma Journal of Engineering and Natural Sciences, Volume: 36 Issue: 2. https://ajindex.com/articles/1632847

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Kaynakça (20)

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