Generic Submanifods of Para β-Kenmotsu Manifold
Keywords:
Para β-Kenmotsu manifold, Generic submanifolds
Abstract
The aim of the present paper is to define and study generic submanifolds of para β--Kenmotsu manifold. We investigate the geometry of leaves which arise the definition of a generic submanifold and obtained integrability conditions of distributions. We also consider parallel conditions of projections on generic submanifolds of para β--Kenmotsu manifold.
References
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[2] Olszak, Z., The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94(108), (2013), 31-42.
[3] Shahid, M.H. and Mihai, I., generic submanifolds of a trans-Sasakian manifold, Publ. Math. Debrecen, 47, (1995), 209-218.
[4] Sinha, B. and Prasad, K. S., A class of almost para contact metric manifold, Bulletin of the Calcutta Mathematical Society, 87, (1995), 307–312.
[5] Ünal, İ., Generic submanifolds of Lorentzian para Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
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[2] Olszak, Z., The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94(108), (2013), 31-42.
[3] Shahid, M.H. and Mihai, I., generic submanifolds of a trans-Sasakian manifold, Publ. Math. Debrecen, 47, (1995), 209-218.
[4] Sinha, B. and Prasad, K. S., A class of almost para contact metric manifold, Bulletin of the Calcutta Mathematical Society, 87, (1995), 307–312.
[5] Ünal, İ., Generic submanifolds of Lorentzian para Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
[6] Verheyen, P., Generic submanifolds of Sasakian manifold, Med. Wisk. Inst. K.U. Leuven,157, (1982),1-21.
[7] Yano, K. and Masahiro, K., generic submanifolds of Sasakian manifolds, Kodai Math. J., 3, (1980),163-196.
[8] Zamkovoy, S., Canonical connections on para contact manifolds, Annals of Global Analysis and Geometry, 36(1),(2009), 37–60.
Published
2023-06-30
How to Cite
Sari, R., & Dirik, S. (2023). Generic Submanifods of Para β-Kenmotsu Manifold. Journal of Engineering Research and Applied Science, 12(1), 2291-2294. Retrieved from http://www.journaleras.com/index.php/jeras/article/view/315
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