Erol KILIÇ, Mukut Mani TRIPATHI, Selcen YÜKSEL PERKTAŞ

Bir Belirsiz Para Sasakiyan Manifoldun Lightlike Hiperyüzeyleri

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.

Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold

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.

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