Contact Pseudo-Slant Submanifolds of Lorentzian Para Kenmotsu Manifold
Keywords:
Lorentzian para -Kenmotsu manifold, contact pseudo-slant submanifolds
Abstract
The aim of the present paper is to define and study contact pseudo-slant submanifolds of lorentzian para Kenmotsu manifold. We investigate the geometry of leaves which arise the definition of contact pseudo-slant submanifolds of Lorentzian para Kenmotsu manifold and obtaine integrability conditions of distributions. We also consider parallel conditions of projections on study contact pseudo-slant submanifolds of Lorentzian para Kenmotsu manifold
References
[1] M. Atçeken and S.Dirik , On the geometry of pseudo-slant submanifold of a Kenmotsu manifold, Gulf Journal of Mathematics , 2(2)(2014),51-66.
[2] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal, 42, (2000), 125-138.
[3] A. Carriazo, New Devolopments in Slant Submanifolds Theory, Narosa publishing House, New Delhi, India, (2002).
[4]V. Chandra ,S. Lal , On 3-dimensional Lorentzian para Kenmotsu manifolds, Dif. Geo. Dyn. Sys., 22, 87-94, (2020)
[5] B. Y. Chen, Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, (1990).
[6 B.Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society, 41, (1990), 135-147.
[7] U.C. De and A. Sarkar, On Pseudo-slant submanifolds of trans-Sasakian manifolds, Proceedings of the Estonian Academy of Sciences, 60, 1(2011), 1-11, doi: 10.3176/proc.2011.1.01.
[8] S. Dirik, M. Atçeken, Pseudo-slant submanifolds in Cosymplectic space forms, Acta Universitatis Sapientiae: Mathematica, 8, 1(2016), 53-74, doi: 10.1515/ausm-2016-0004.
[9] S. Dirik, M. Atçeken, ¨U . Yildirim, Pseudo-slant submanifold in Kenmotsu space forms, Journal of Advances in Mathematics, 11, 10(2016), 5680-5696.
[10] H. Haseeb , R. Prasad , Certain results on Lorentzian para Kenmotsu manifolds, Bol. Soc. Paran. Mat., 39(3), 201-220, (2021)
[11] H. Haseeb , R. Prasad , Some resultson Lorentzian Kenmotsu manifolds, Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series II, 13(1), 185-198, (2020).
[12] V. A. Khan and M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of püre and applied Mathematics, 38, 1(2007), 31-42.
[13] M. A. Khan, Totally umbilical Hemi-slant submanifolds of Cosymplectic manifolds, Mathematica Aeterna, 3, 8(2013), 645-653.
[14] B. Laha and A. Bhattacharyya, Totally umbilical Hemislant submanifolds of LP-Sasakian Manifold, Lobachevskii Journal of Mathematics, 36, 2(2015), 127-131, doi: 10.1134/S1995080215020122.
[15] A. Lotta, Slant submanifolds in contact geometry, Bulletin of Mathematical Society Romania, 39, (1996), 183-198.
[16] R. Roşca , On Lorentzian Kenmotsu manifolds , Atti Accad. Peloritana Pericolanti, Cl. Sci., 69, 15-30, (1991).
[17] R. Sarı, Some properties curvture of Lorentzian Kenmotsu manifolds, Applied Mathematics and Nonlinear Sciences, 5(1), 283-292, (2020).
[18] R. Sarı ,A.T. Vanli , Slant submanifolds of Lorentzian Kenmotsu manifold, Mediterranean Journal of Mathematics, 16, 129, (2019).
[19] İ. Ünal, Generic submanifolds of Lorentzian para Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
[20] M. M Tripathi ,U.C. De ., Lorentzian almost paracontact manifolds and their submanifolds, The Pure and Applied Mathematics, 8.2, 101-125, (2001).
[2] J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasgow Mathematical Journal, 42, (2000), 125-138.
[3] A. Carriazo, New Devolopments in Slant Submanifolds Theory, Narosa publishing House, New Delhi, India, (2002).
[4]V. Chandra ,S. Lal , On 3-dimensional Lorentzian para Kenmotsu manifolds, Dif. Geo. Dyn. Sys., 22, 87-94, (2020)
[5] B. Y. Chen, Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, (1990).
[6 B.Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society, 41, (1990), 135-147.
[7] U.C. De and A. Sarkar, On Pseudo-slant submanifolds of trans-Sasakian manifolds, Proceedings of the Estonian Academy of Sciences, 60, 1(2011), 1-11, doi: 10.3176/proc.2011.1.01.
[8] S. Dirik, M. Atçeken, Pseudo-slant submanifolds in Cosymplectic space forms, Acta Universitatis Sapientiae: Mathematica, 8, 1(2016), 53-74, doi: 10.1515/ausm-2016-0004.
[9] S. Dirik, M. Atçeken, ¨U . Yildirim, Pseudo-slant submanifold in Kenmotsu space forms, Journal of Advances in Mathematics, 11, 10(2016), 5680-5696.
[10] H. Haseeb , R. Prasad , Certain results on Lorentzian para Kenmotsu manifolds, Bol. Soc. Paran. Mat., 39(3), 201-220, (2021)
[11] H. Haseeb , R. Prasad , Some resultson Lorentzian Kenmotsu manifolds, Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series II, 13(1), 185-198, (2020).
[12] V. A. Khan and M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian Journal of püre and applied Mathematics, 38, 1(2007), 31-42.
[13] M. A. Khan, Totally umbilical Hemi-slant submanifolds of Cosymplectic manifolds, Mathematica Aeterna, 3, 8(2013), 645-653.
[14] B. Laha and A. Bhattacharyya, Totally umbilical Hemislant submanifolds of LP-Sasakian Manifold, Lobachevskii Journal of Mathematics, 36, 2(2015), 127-131, doi: 10.1134/S1995080215020122.
[15] A. Lotta, Slant submanifolds in contact geometry, Bulletin of Mathematical Society Romania, 39, (1996), 183-198.
[16] R. Roşca , On Lorentzian Kenmotsu manifolds , Atti Accad. Peloritana Pericolanti, Cl. Sci., 69, 15-30, (1991).
[17] R. Sarı, Some properties curvture of Lorentzian Kenmotsu manifolds, Applied Mathematics and Nonlinear Sciences, 5(1), 283-292, (2020).
[18] R. Sarı ,A.T. Vanli , Slant submanifolds of Lorentzian Kenmotsu manifold, Mediterranean Journal of Mathematics, 16, 129, (2019).
[19] İ. Ünal, Generic submanifolds of Lorentzian para Kenmotsu manifold, KMU Journal of Engineering and Natural Sciences, 3(2), (2021), 79-85.
[20] M. M Tripathi ,U.C. De ., Lorentzian almost paracontact manifolds and their submanifolds, The Pure and Applied Mathematics, 8.2, 101-125, (2001).
Published
2023-12-31
How to Cite
Dirik, S., & Sari, R. (2023). Contact Pseudo-Slant Submanifolds of Lorentzian Para Kenmotsu Manifold. Journal of Engineering Research and Applied Science, 12(2), 2301-2306. Retrieved from http://www.journaleras.com/index.php/jeras/article/view/320
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Articles
