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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 14 - Sayı: 2

Some Results for Bislant and Semi-Slant Submanifolds of Semi-Riemannian Manifolds

Yarı-Riemannian Manifoldların Bislant ve Yarı-Slant Altmanifoldları İçin Bazı Sonuçlar

Gülşah AYDIN ŞEKERCİ
Abdulkadir Ceylan ÇÖKEN
Pages
422–433
Publication Date
2021-08-31
DOI
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AI Summary & Key Takeaways

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

Morever, we define the semi-slant submanifolds of locally product semi-Riemannian manifolds and discuss the integrability conditions of distributions that are invariants or slants that constitute a semi-slant submanifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study looks into the bislant submanifolds of almost product semi-Riemannian manifolds that are Riemannian, semi-Riemannian and lightlike.
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Key Findings & Data:We also state the theorems that provide the required conditions for constructing a slant submanifold from a bislant submanifold.
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Conclusion & Impact:Morever, we define the semi-slant submanifolds of locally product semi-Riemannian manifolds and discuss the integrability conditions of distributions that are invariants or slants that constitute a semi-slant submanifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Yarı-Riemann · Hemen hemen çarpım yapısı · Dejenere olmayan metrik

Abstract

This study looks into the bislant submanifolds of almost product semi-Riemannian manifolds that are Riemannian, semi-Riemannian and lightlike. We also state the theorems that provide the required conditions for constructing a slant submanifold from a bislant submanifold. Morever, we define the semi-slant submanifolds of locally product semi-Riemannian manifolds and discuss the integrability conditions of distributions that are invariants or slants that constitute a semi-slant submanifold.

Özet

Bu çalışma hemen hemen çarpım yarı-Riemann manifoldların Riemann, yarı-Riemann ve ışıkbenzer olan bislant altmanifoldlarını incelemektedir. Ayrıca, bir bislant altmanifoldundan bir slant altmanifold oluşturmak için gerekli koşulları sağlayan teoremleri ifade ediyoruz. Dahası, lokal çarpım yarı-Riemann manifoldlarının yarı-slant altmanifoldlarını tanımlıyor ve yarı-slant bir altmanifold oluşturan değişmez veya slant dağılımların integrallenebilirlik koşullarını tartışıyoruz.

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Cite This Article

ŞEKERCİ, G. A., ÇÖKEN, A. C. (2021). Some Results for Bislant and Semi-Slant Submanifolds of Semi-Riemannian Manifolds. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 14 - Sayı: 2, 422–433. https://ajindex.com/articles/398839

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References (2)

  1. Aydın, G., and Çöken, A. C., 2013. “Slant submanifolds of semi-Riemannian manifolds. International Journal of Geometric Methods in Modern Physics, 10(10), 1350058. Chen, B. Y., 1990. “Geometry of Slant Submanifolds”. Katholieke Universiteit, Leuven. Duggal, L. K., and Bejancu, A., 1996. “Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications”. Kluwer Academic Publishers,
  2. The Netherlands. Li, H., and Liu, X., 2010. “Semi-slant submanifolds of a locally product manifold”. Georgian Mathematical Journal, 12(2), 273. Şahin, B., 2006. “Slant submanifolds of an almost product Riemannian manifold”. J. Korean Math. Soc., 43(4), 717. Şahin, B., 2008. “Slant lightlike submanifolds of indefinite Hermitian manifolds”. Balkan Journal of Geometry and Its Applications, 13(1), 107. Yano, K., and Kon, M., 1984. “Structures on Manifolds”. World Scientific Publishing Co. Pte. Ltd., Singapore.