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

Year 2021, Volume: 14 Issue: 2, 422 - 433, 31.08.2021

Gülşah Aydın Şekerci , Abdulkadir Ceylan Çöken

https://doi.org/10.18185/erzifbed.904630

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.

Keywords

Semi-Riemannian, Almost product structure, Nondegenerate metric

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

Abstract

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.

Keywords

Yarı-Riemann, Hemen hemen çarpım yapısı, Dejenere olmayan metrik

References

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