Journals / Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2004 / Cilt: 16 - Sayı: 3

Lorentz uzayında time-like yüzeylerin kesit eğriliği

On the sectional curvature of time-like surface in Lorentzian

Pages
543–549
Publication Date
2022-10-17
DOI
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AI Summary & Key Takeaways

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

In addition, we defined asymptotic and conjugate vectors in Lorentzian space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we explained curvature which is known in Euclidean space; the definition of sectional curvature which corresponds to Lorentzian space is introduced.
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Key Findings & Data:In this paper, we explained curvature which is known in Euclidean space; the definition of sectional curvature which corresponds to Lorentzian space is introduced.
💡
Conclusion & Impact:In addition, we defined asymptotic and conjugate vectors in Lorentzian space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we explained curvature which is known in Euclidean space; the definition of sectional curvature which corresponds to Lorentzian space is introduced. In addition, we defined asymptotic and conjugate vectors in Lorentzian space.

Özet

Bu makalede Öklid uzayında bilinen kesit eğriliğinin Lorentz uzayındaki karşılığı verildi. Buna ilaveten Lorentz uzayında asimptotik ve eşlenik vektörler tanımlandı.

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Cite This Article

ERGÜT, M., BEKTAŞ, M., ÖĞRENMİŞ, A. O. (2022). Lorentz uzayında time-like yüzeylerin kesit eğriliği. Fırat Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 3, 543–549. https://ajindex.com/articles/513647

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References (1)

  1. B. O'Neill, Semi-Riemannian Geometry, Academic Press, New York,468s, 1983. 2.N. Koike, Proper Isoparametric Semi-Riemannian Submanifolds in a Semi-Riemannian Space Form, Tsukuba J. Math, Vol.13, No.l, 131-146, 1989. 3.D. Martin, Manifolds Theory, Ellis Horwood, 191 s, 1991. 4.J.K. Beem and P.H. Ehrlich, Global Lorentzian Geometry, Inc. New York, 460s, 1981.