Characteristics of Lorentzian-Para Kenmotsu spacetime manifolds
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The primary objectives of this paper is to study a special type of spacetime known as Lorentzian para-Kenmotsu (LPK) spacetime, characterized by a coefficient $ \alpha $, satisfying curvature conditions $ \mathcal{C}(X,Y)\cdot \xi=0 $ and $\mathsf{R}(X,Y)\cdot \mathcal{S} = 0$. We study the conditions under which the generalized $\mathcal {Z} $-tensor becomes almost pseudo-$ \mathcal {Z} $-symmetric spacetime. Finally, we provide an example of (LPK) spacetime with a coefficient $ \alpha $ that satisfies certain notable results.
Abstract
The primary objectives of this paper is to study a special type of spacetime known as Lorentzian para-Kenmotsu (LPK) spacetime, characterized by a coefficient $ \alpha $, satisfying curvature conditions $ \mathcal{C}(X,Y)\cdot \xi=0 $ and $\mathsf{R}(X,Y)\cdot \mathcal{S} = 0$. We study the conditions under which the generalized $\mathcal {Z} $-tensor becomes almost pseudo-$ \mathcal {Z} $-symmetric spacetime. Finally, we provide an example of (LPK) spacetime with a coefficient $ \alpha $ that satisfies certain notable results.
참고문헌 (12)
- K. De, "Some relativistic properties of Lorentzian para-Sasakian type spacetime", Kyungpook Math. J, 60(4), pp.821~830 (2020)
- K. De, "Perfect fluid spacetimes and gradient solitons", J. Nonlinear Math. Phys, 29(4), pp.843~858 (2022)[DOI]
- U. C. De, "On almost pseudo-Z-symmetric manifolds", Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math, 53(1), pp.25~43 (2014)
- U. C. De, "Complex Manifolds and Contact Manifolds" (2009), Narosa
- U. C. De, "On LP-Sasakian manifolds with a coefficient α", Kyungpook Math. J, 42(1), pp.177~186 (2002)
- H. F. de Lima, "A note on maximal hypersurfaces in a generalized Robertson-Walker spacetime", Commun. Korean Math. Soc, 37(3), pp.893~904 (2022)[DOI]
- R. S. Hamilton, "The Ricci flow on surfaces, Mathematics and General Relativity (Santa Cruz, CA, 1986)", Contemp. Math, 71, pp.237~262 (1986), Amer. Math. Soc[DOI]
- A. Haseeb, "Certain results on Lorentzian para-Kenmotsu manifolds", Bol. Soc. Parana. Mat, (3) 39(3), pp.201~220 (2021)
- K. Matsumoto, "On Lorentzian paracontact manifolds", Bull. Yamagata Univ. Natur. Sci, 12(2), pp.151~156 (1989)
- I. Mihai, "Classical Analysis", pp.155~169 (1991), World Sci. Publ
- R. Prasad, "On a class of α-para Kenmotsu manifolds with semi-symmetric metric connection", Palest. J. Math, 6(Special Issue II), pp.297~307 (2017)
- S. K. Yadav, "On the perfect fluid Lorentzian para-Sasakian spacetimes", Bulg. J. Phys, 46, pp.1~15 (2019)