Bir Belirsiz Para Sasakiyan Manifoldun Lightlike Hiperyüzeyleri

Year 2019, Volume: 9 Issue: 2, 352 - 373, 30.12.2019

Selcen Yüksel Perktaş , Erol Kılıç , Mukut Mani Tripathi

https://doi.org/10.37094/adyujsci.516251

Abstract

Bu makalede, bir belirsiz para Sasakiyan manifoldun yapı vektör alanına teğet olan lightlike hiperyüzeyleri çalışılmıştır. Özel olarak, değişmez lightlike hiperyüzeyler ve ekran yarı-değişmez lightlike hiperyüzeyler tanıtılarak bazı örnekler verilmiştir. Bir belirsiz para Sasakian manifoldun ekran yarı-değişmez lightlike hiperyüzeyine dahil olan distribüsyonlar için integrallenebilirlik koşulları incelenmiştir.

Keywords

Belirsiz hemen hemen parakontakt manifold, Belirsiz para Sasakiyan manifold, Değişmez lightlike hiperyüzey, Ekran yarı-değişmez lightlike hiperyüzey

Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold

Abstract

   In this paper, we initiate the study of lightlike hypersurfaces of an indefinite almost paracontact metric manifold which are tangent to the structure vector field. In particular, we give definitions of invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, and give some examples. Integrability conditions for the distributions involved in the screen semi-invariant lightlike hypersurface of an indefinite para Sasakian manifold are investigated.

Keywords

Indefinite almost paracontact manifold, Indefinite para Sasakian manifold, Invariant lightlike hypersurface, Screen semi-invariant lightlike hypersurface

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