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Dergiler / International Electronic Journal of Geometry / 2016 / Cilt: 9 - Sayı: 1

Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection

Erol KILIÇ
Oğuzhan BAHADIR
Sayfa
9–22
Yayın Tarihi
2022-10-18
DOI
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We introduce a class of

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We study lightlike submanifolds of a semi-Riemannian product manifold.
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Temel Bulgular & Veri:We study lightlike submanifolds of a semi-Riemannian product manifold.
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Sonuç & Katkı:We introduce a class of
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lightlike submanifolds · Product manifolds · Quarter symmetric connection

Abstract

We study lightlike submanifolds of a semi-Riemannian product manifold. We introduce a class of

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Bu Makaleye Atıf Yap

KILIÇ, E., BAHADIR, O. (2022). Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection. International Electronic Journal of Geometry, Cilt: 9 - Sayı: 1, 9–22. https://ajindex.com/articles/539714

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  1. Agashe, N. S. and Chafle, M. R., A semi symetric non-metric connection in a Riemannian manifold. Indian J. Pure Appl. Math. 23, 1992, 399-409 [2] Atceken, M. and Kilic, E. Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold. Kodai Math. J. Vol. 30, No. 3, (2007), pp. 361-378. [3] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Academic Publishers, Dordrecht, 1996. [4] Duggal, K. L. and Bejancu, A., Lightlike submanifolds of codimension two. Math. J. Toyama Univ., 15(1992), 59-82. [5] Duggal, K. L. and Sahin, B., Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hungar. 106(1-2) (2005), 137-165 [6] Duggal, K. L. and Sahin, B., Generalized Cauchy Riemann lightlike submanifolds. Acta Math. Hungar., 112(1-2), (2006), 113-136. [7] Duggal, K. L. and Sahin, B., Lightlike submanifolds of indefinite Sasakian manifolds. Int. J. Math. Math. Sci. 2007, Art ID 57585, 1-21.[162] [8] Duggal, K. L. and Sahin, B., Contact generalized CR-lightlike submanifolds of Sasakian submanifolds. Acta Math. Hungar. 122, No. 1-2, (2009), 45-58. [9] Duggal, K. L., Sahin, B., Differential Geometry of Lightlike Submanifolds. Birkhauser Veriag AG Basel-Boston-Berlin (2010). [10] Golab, S., On semi-symmetric metric and quarter-symmetric linear connections, Tensor 29, 1975, 249-254. [11] Hayden, H. A., Sub-spaces of a space with torsion. Proceedings of the London Mathematical Society. vol. 34, 1932, 27-50. [12] Kilic, E. and Sahin, B., Radical Anti-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold. Turkish J. Math. 32, (2008), 429-449. [13] Kilic, E. and Bahadir, O., Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections. Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 178390, 17 pages. [14] Tripathi, M. M., A new connection in a Riemannian manifold. International Journal of Geo. 1, (2008), 15-24. [15] Yano, K., On semi-symmetric metric connections. Rev. Roumania Math. Pures. Appl. 15, (1970), 1579-1586. [16] Yano, K., Kon, M., Structures on Manifolds. World Scientific Publishing Co. Pte, Ltd., 1984