Submersions of Generic Submanifolds of Para Kenmotsu Manifold
Keywords:
Submersions, generic submanifold, para Kenmotsu manifold
Abstract
In this paper, we investigate the submersions of generic submanifolds of a para Kenmotsu manifold onto almost contact manifold. We also obtain the decomposition theorems for such submersions and derive the relation between curvatures.
References
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[2]Cruceanu, V., Fortuny, P., & Gadea, P. M., A survey on paracomplex geometry. Rocky Mountain journal of mathematics, 26(1), 83-115, 1996.
[3] Deshmukh, S., Ali, S., Husain, S.I., Submersions of CR-submanifolds of a Kaehler manifold, Indian J. Pure Appl. Math., 19(12), (1988),1185–1205.
[4] Dirik, S.,Yıldırım, Ü., Characterizations of Contact Pseudo-Slant Submanifolds of a Para-Kenmotsu Manifold. Journal of Amasya University the Institute of Sciences and Technology, 3(1), (2022), 49-59.
[5] Fatima T., Ali S., Submersion of generic submanifolds of a Kaehler manifold, Arab J Math Sci 20(1), (2014), 119–131.
[6] Kobayashi, S., Submersions of CR submanifolds, Tohoku Math. J., 39(1), (19870),95-100.
[7] Matsumoto, K., Shahid, M.H., Mihai, I., Generic submanifolds of certain almost contact manifolds, Bull. Yamagata Unıv. Natur. Sci., 13(3), (1994),183-192.
[8] O’Neill, B., The fundamental equations of a submersion, Michigan Math. J.,13,(1966),459-469.
[9] Papaghiuc, N., Submersions of generic submanifolds of a Sasakian manifold, An. Ştiint. Univ. Al. I. Cuza Iaşi Sect. I a Mat., 35(3), (1989), 281-288.
[10] Pastore, Anna Maria, Maria Falcitelli, and Stere Ianus. Riemannian submersions and related topics, World Scientific, 2004.
[11] Shahid, M. H., Al-Solamy, F. R., Jun, J., Ahmad, M., Submersion of Generic Sub-
manifolds of Trans-Sasakian Manifold, Bull. Malaysian Math. Sci. Soc.,36(1), (2013),63-71.
[12]Sinha, B.B., Srivastava, A.K., ”Generic submanifolds of a Para Kenmotsu manifold with constant Φ-holomorphic sectional curvature”, Indian J. Pure Appl. Math., 23(11), (1992), 783-789.
[13] Srivastava V., Pandey,P.N., Submersion of generic submanifolds of contact manifolds, Global J. Pure and App. Math.,13(9), (2017), 5213-5224.
[14] Srivastava V., Pandey,P.N., Submersion of generic submanifolds of lorentzian para-Sasakian manifolds, Int. J. Pure and App. Math., 120(1), (2018),77-85.
[15] Ünal,İ., Generic submanifolds of lorentzian Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
[16] Ünal,İ., Sarı, R., A classification of para-Kenmotsu space forms, Palestine Journal of Mathematics, 10, (2021), 197-203.
[17] Verheyen, P., Generic submanifolds of Sasakian manifold, Med. Wisk. Inst. K.U. Leuven,157, 1-21, 1982.
[18] Yano, K.,Masahiro, K., generic submanifolds of Sasakian manifolds, Kodai Math. J., 3, (1980),163-196.
[19]Zamkovoy, S., Canonical connections on para contact manifolds, Annals of Global Analisis and Geometry, 36(1), (2009), 37-60.
[2]Cruceanu, V., Fortuny, P., & Gadea, P. M., A survey on paracomplex geometry. Rocky Mountain journal of mathematics, 26(1), 83-115, 1996.
[3] Deshmukh, S., Ali, S., Husain, S.I., Submersions of CR-submanifolds of a Kaehler manifold, Indian J. Pure Appl. Math., 19(12), (1988),1185–1205.
[4] Dirik, S.,Yıldırım, Ü., Characterizations of Contact Pseudo-Slant Submanifolds of a Para-Kenmotsu Manifold. Journal of Amasya University the Institute of Sciences and Technology, 3(1), (2022), 49-59.
[5] Fatima T., Ali S., Submersion of generic submanifolds of a Kaehler manifold, Arab J Math Sci 20(1), (2014), 119–131.
[6] Kobayashi, S., Submersions of CR submanifolds, Tohoku Math. J., 39(1), (19870),95-100.
[7] Matsumoto, K., Shahid, M.H., Mihai, I., Generic submanifolds of certain almost contact manifolds, Bull. Yamagata Unıv. Natur. Sci., 13(3), (1994),183-192.
[8] O’Neill, B., The fundamental equations of a submersion, Michigan Math. J.,13,(1966),459-469.
[9] Papaghiuc, N., Submersions of generic submanifolds of a Sasakian manifold, An. Ştiint. Univ. Al. I. Cuza Iaşi Sect. I a Mat., 35(3), (1989), 281-288.
[10] Pastore, Anna Maria, Maria Falcitelli, and Stere Ianus. Riemannian submersions and related topics, World Scientific, 2004.
[11] Shahid, M. H., Al-Solamy, F. R., Jun, J., Ahmad, M., Submersion of Generic Sub-
manifolds of Trans-Sasakian Manifold, Bull. Malaysian Math. Sci. Soc.,36(1), (2013),63-71.
[12]Sinha, B.B., Srivastava, A.K., ”Generic submanifolds of a Para Kenmotsu manifold with constant Φ-holomorphic sectional curvature”, Indian J. Pure Appl. Math., 23(11), (1992), 783-789.
[13] Srivastava V., Pandey,P.N., Submersion of generic submanifolds of contact manifolds, Global J. Pure and App. Math.,13(9), (2017), 5213-5224.
[14] Srivastava V., Pandey,P.N., Submersion of generic submanifolds of lorentzian para-Sasakian manifolds, Int. J. Pure and App. Math., 120(1), (2018),77-85.
[15] Ünal,İ., Generic submanifolds of lorentzian Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
[16] Ünal,İ., Sarı, R., A classification of para-Kenmotsu space forms, Palestine Journal of Mathematics, 10, (2021), 197-203.
[17] Verheyen, P., Generic submanifolds of Sasakian manifold, Med. Wisk. Inst. K.U. Leuven,157, 1-21, 1982.
[18] Yano, K.,Masahiro, K., generic submanifolds of Sasakian manifolds, Kodai Math. J., 3, (1980),163-196.
[19]Zamkovoy, S., Canonical connections on para contact manifolds, Annals of Global Analisis and Geometry, 36(1), (2009), 37-60.
Published
2022-12-31
How to Cite
Sari, R. (2022). Submersions of Generic Submanifolds of Para Kenmotsu Manifold. Journal of Engineering Research and Applied Science, 11(2), 2141-2146. Retrieved from http://www.journaleras.com/index.php/jeras/article/view/286
Section
Articles
