A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds

Document Type : Research Paper

Authors

1 Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, India

2 Guru Gobind Singh Indraprastha University, University School of Basic and Applied Science New Delhi-110078, India

Abstract

Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant
sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant sub-manifold of nearly trans-Sasakian manifold. During this manner, we tend to study and investigate integrability of distributions which are concerned in the definition of quasi hemi-slant submanifold of nearly
trans-Sasakian manifold. Moreover, we tend to get necessary and sufficient conditions for quasi hemi-slant submanifold of nearly trans-Sasakian manifold to be totally geodesic for such manifolds.

Keywords

References

[1] D. D. Anderson and E. Smith,Weakly prime ideals, Houston J. Mathematics, 29(2003), 831–840.
[2] Sahin, A., Warped product submanifolds of a Kaehler manifold with a slant factor,Ann. Pol. Math. 95 (2009), 107-126
[3] Lotta, A., Slant submanifold in contact geometry, Bull. Math. Soc. Sci. Math.Repub. Soc. Roum. 39 (1996), 183-198
[4] Chen, B. Y., Geometry of slant submanifolds, Katholieke Universiteit, Leuven,(1990)
[5] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc. 41 (1990), No. 1,135-147
[6] Chen, B. Y. and Tazawa, Y., Slant submanifolds in complex Euclidean spaces,Tokyo J. Math. 14 (1991), 101-120
[7] Blair, D. E. and Goldberg, S.I., Topology of almost contact manifolds, J. Differ.Geom. 1 (1967) 347-354
[8] Mihai, I. and Rosca, R., On Lorentzian P-Sasakian manifolds, Classical Analysis,World Scientifc Publ., (1992), 155-169.
[9] Matsumoto, K., On Lorentzian para contact manifolds, Bull. of Yamagata Univ.,Nat. Sci. 12 (1989), 151-156.
[10] Matsumoto, K. and Mihai, I., On a certain transformation in Lorentzian para Sasakian manifold, Tensor, N.S.47 (1988), 189-197.
[11] Park K. S. and Prasad, R., Semi-slant submersions, Bull. Korean Math. Soc. 50 (2013), No. 3, 951-962.
[12] Prasad, R., Verma, S. K. and Kumar, S., Quasi hemi-slant submanifolds of Sasakian manifolds, J. Math. Comput. Sci. 10 (2020), No. 2, 418-435.
[13] Rahman, S.,Contact CR-warped product submanifolds of nearly Lorentzian paraSasakian manifold, Turkish Journal of Mathematics and Computer Science, 7 (2017), 40-47.
[14] Rahman, S. and Jun J. B., CR-submanifolds of a nearly Lorentzian ParaSasakian manifold, Far East Journal of Mathematical Sciences (FJMS), 103 (2018), No. 3, 587-602.
[15] Uddin, S. Chen B. Y. and Al-Solamy, F. R. Warped product bi-slant immersions in Kaehler manifolds, Mediterr. J. Math. 14 (2017), No. 2, 14-95.
[16] Shahid M.H. et al., Slant submanifolds of cosymplectic manifold, An. S tiint. Univ. Al. I. Cuza Iasi, Mat. 50 (2004), 33-50
[17] Papaghuic, N., Semi-slant submanifold of Kaehlerian manifold, An. St. Univ. AI. I. Cuza. Iasi. Math. N.S. 9 (1994), 55-61
Journal of Hyperstructures
Volume 12, Issue 2
December 2023
Pages 336-350

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