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Dergiler / International Electronic Journal of Geometry / 2022 / Volume: 15 Issue: 2

On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric

Habil Fattayev(BAKU STATE UNIVERSITY)0000-0003-0861-3904
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Yayın Tarihi
2022-10-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
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Temel Bulgular & Veri:In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
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Sonuç & Katkı:In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Coframe bundle · adapted frame · Cheeger-Gromoll metric

Abstract

In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.

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Bu Makaleye Atıf Yap

Fattayev, H. (2022). On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric. International Electronic Journal of Geometry, Volume: 15 Issue: 2. https://doi.org/10.36890/iejg.1071782

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Kaynakça (16)

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  13. Salimov, A., Kazimova, S.: Geodesics of the Cheeger-Gromoll metric. Turk J Math. 33, (2009), 99-105.
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