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Journals / Universal Journal of Mathematics and Applications / 2018 / Cilt: 1 - Sayı: 1

Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$

İsmet AYHAN
Pages
61–67
Publication Date
2018-03-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, a system of the differential equations giving geodesics on the cotangent bundle with pseudo Riemann metric $^{C}g$ of $H_{1}^{2}$ is get.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations.
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Key Findings & Data:Then, space like geodesics on pseudo hyperbolic 2-space $H_{1}^{2}$ are obtained.
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Conclusion & Impact:Finally, a system of the differential equations giving geodesics on the cotangent bundle with pseudo Riemann metric $^{C}g$ of $H_{1}^{2}$ is get.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:The Hamilton mechanic system · geodesics on the cotangent bundle · spacelike surface

Abstract

In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations. Then, space like geodesics on pseudo hyperbolic 2-space $H_{1}^{2}$ are obtained. Finally, a system of the differential equations giving geodesics on the cotangent bundle with pseudo Riemann metric $^{C}g$ of $H_{1}^{2}$ is get.

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Cite This Article

AYHAN, İ. (2018). Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$. Universal Journal of Mathematics and Applications, Cilt: 1 - Sayı: 1, 61–67. https://ajindex.com/articles/820021

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References (11)

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