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Journals / 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
Pages
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Publication Date
2022-10-31
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⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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