[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2020.60.4.821

Some Relativistic Properties of Lorentzian Para-Sasakian Type Spacetime

De, Krishnendu (Department of Mathematics, Kabi Sukanta Mahavidyalaya)

Publication Information

Kyungpook Mathematical Journal / v.60, no.4, 2020 , pp. 821-830 More about this Journal

Abstract

The object of the present paper is to classify a special type of spacetime, called Lorentzian para-Sasakian type spacetime (4-dimensional LP-Sasakian manifold with a coefficient α) satisfying certain curvature conditions.

Keywords

LP-Sasakian manifold with a coefficient ${\alpha}$ ; ${\xi}$ -conformally flat manifold; ${\eta}$ -Einstein manifold;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	U. C. De, A. A. Shaikh and A. Sengupta, On LP-Sasakian manifolds with acoefficient α, Kyungpook Math. J., 42(2002), 177-186.
2	I. Mihai and R. Rosca, On Lorentzian P-Sasakian manifolds, Classical Analysis, 155-169, World Sci. Publ., Singapore, 1992.
3	V. A. Mirzoyan, Ricci semisymmetric submanifolds(Russian), Itogi Nauki i Tekhniki. Ser. Probl. Geom. 23, VINITI, Moscow, 1991, 29-66.
4	B. O'Neill, Semi Riemannian geometry, Academic press, New york, 1983.
5	Z. I. Szabo, Classification and construction of complete hypersurfaces satisfying R(X, Y ) · R = 0, Acta Sci. Math. (Szeged), 47(1981), 321-348.
6	Z. I. Szabo, Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0., I, The local version, J. Diff. Geom., 17(1982), 531-582. DOI
7	K. Yano, On the torse-forming direction in Riemannian spaces, Proc. Imp. Acad. Tokyo, 20(1944), 340-345. DOI
8	A. Yildiz and U. C. De, A classification of (k, μ)-contact metric manifolds, Commun. Korean Math. Soc., 27(2012), 327-339. DOI
9	G. Zhen, On Conformal Symmetric K-contact manifolds, Chinese Quart. J. of Math., 7(1992), 5-10.
10	L. Alias, A. Romero and M. Sanchez, Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes, Gen. Relativity Gravitation, 27(1)(1995), 71-84. DOI
11	E. Boeckx, O. Kowalski and L. Vanhecke, Riemannian manifolds of conullity two, Singapore World Sci. Publishing, 1996.
12	U. C. De and K. Arslan, Certain curvature conditions on an LP-Sasakian manifold with a coefficient α, Bull. Korean Math. Soc., 46(2009), 401-408. DOI
13	U. C. De, J. B. Jun and A. A. Shaikh, On conformally flat LP-Sasakian manifolds with a coefficient α, Nihonkai Math. J., 13(2002), 121-131.
14	K. Matsumoto and I. Mihai, On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor (N.S.), 47(1988), 189-197.
15	T. Ikawa and M. Erdogan, Sasakian manifolds with Lorentzian metric, Kyungpook Math. J., 35(1996), 517-526.
16	T. Ikawa and J. B. Jun, On sectional curvatures of a normal contact Lorentzian manifold, Korean J. Math. Sciences, 4(1997), 27-33.
17	O. Kowalski, An explicit classification of 3-dimensional Riemannian spaces satisfying R(X, Y ) · R = 0, Czechoslovak Math. J., 46(1996), 427-474. DOI
18	K. Matsumoto, On Lorentzian paracontact manifolds, Bull. Yamagata Univ. Nat. Sci., 12(1989), 151-156.