Characterizations of Lorentzian Para-Sasakian Manifolds with respect to the Schouten-van Kampen Connection

Year 2022, Volume: 4 Issue: 2, 1 - 10, 30.12.2022

Semra Zeren Ahmet Yıldız Selcen Yüksel Perktaş

Abstract

The object of the present paper is to study a Lorentzian para-Sasakian manifold with respect to the Schouten-van Kampen connection.

Keywords

$\eta $-Einstein manifold, Lorentzian para-Sasakian manifolds, Schouyen-van Kampen connection

References

• Matsumoto, K. (1989). On Lorentzian paracontact manifolds. Bull. of Yamagata Univ. Nat. Sci., 12(2), 151-156.
• Mihai, I., & Rosca, R. (1992). On Lorentzian P-Sasakian manifolds. Classical Analysis, World Scientific Publish, Singapore, 155-169.
• Matsumoto, K., & Mihai, I. (1988). On a certain transformation in a Lorentzian para-Sasakian manifold. Tensor N. S, 47(2), 189-197.
• Tripathi, M. M., & De, U. C. (2001). Lorentzian almost paracontact manifolds and their submanifolds. J.Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., 8(2), 101-105.
• Ozgur C. (2003). φ -conformally flat Lorentzian para-Sasakian manifolds. Radovi Matematicki, 12(1), 99-106.
• Shaikh A. A., & Baishya K. K. (2006). On φ -symmetric Lorentzian para-Sasakian manifolds. Yokohama Math. Journal, 52, 97-112.
• Taleshian A., & Asghari N. (2010). On LP-Sasakian manifolds satisfying certain conditions on the concircular curvature tensor. Differential Geometry-Dynamical Systems, 12, 228-232.
• Yano K., & Kon M. (1985). Structures on manifolds. Series in Pure Math., Vol 3, World Sci.
• Sato I. (1976). On a structure similar to almost contact structure. Tensor N. S, 30, 219-224.
• Sato I. (1977). On a structure similar to almost contact structure II. Tensor N. S, 31, 199-205.
• Bejancu A., & Faran H. R. (2006). Foliations and geometric structures. Math. and Its Appl., 580, Springer, Dordrecht.
• Solov’ev A. F. (1978). On the curvature of the connection induced on a hyperdistribution in a Riemannian space (in Russian). Geom. Sb., 19, 12-23.
• Solov’ev A. F. (1979). The bending of hyperdistributions (in Russian). Geom. Sb., 20, 101-112.
• Solov’ev A. F. (1982). Second fundamental form of a distribution. Mat. Zametki, 35, 139-146.
• Solov’ev A. F. (1985). Curvature of a distribution. Mat. Zametki, 35, 111-124.