Quasi hemi Slant Submanifolds of Lorentzian Concircular Structures

Author:

Khan Toukeer1,Rizvi Sheeba1,Bahadir Oğuzhan2

Affiliation:

1. Department of Liberal Education, Era University, Lucknow-226003, INDIA

2. Department of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras, TURKEY

Abstract

n this manuscript, we introduce and explore quasi hemi-slant submanifolds, extending the concepts of slant submanifolds, semi-slant submanifolds, and hemi-slant submanifolds within Lorentzian concircular structures- manifolds (LCS)n -manifolds. We establish necessary and sufficient conditions for the integrability of distributions relevant to defining quasi hemi-slant submanifolds within Lorentzian concircular structuresmanifolds or (LCS)n- manifolds. Additionally, we investigate the conditions under which quasi hemi-slant submanifolds of Lorentzian concircular structures can be totally geodesic and analyze the geometric properties of foliations determined by the associated distribution.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference24 articles.

1. K. Matsumoto, “On Lorentzian paracontact manifolds”, Bull. of Yamagata Univ. Nat. Sci. 12(2) (1989), 151-156.

2. M, Ahmed, “CR-submanifolds of LPSasakian manifolds endowed with a quarter symmetric metric connection”, Bull. Korean Math. Soc. 49(1), (2012), 25-32

3. D. E. Blair, “Contact manifold in Riemannian geometry”, Lecture notes in Math. 509, Springer-Verlag, New York, (1976).

4. M. Ahmed and J. P. Ojha, “CR-submanifolds of LP-Sasakian manifolds with a canonical semi-symmetric semi-metric connection”, Int. J. Contemp. Math Sci. 5(33) (2010), 1637- 1643.

5. A. Bejancu, “Geometry of CR-submanifolds”, Mathematics and Application, D. Reidel Publishing Co., Dordrecht (1986).

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