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Ricci semi-symmetric null hypersurfaces in a Lorentzian space form | ||
Journal of Finsler Geometry and its Applications | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 اسفند 1403 اصل مقاله (701.16 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2025.15973.1138 | ||
نویسنده | ||
Mahamane Mahi Harouna* | ||
Department of Mathematics, University of Dan Dicko Dankoulodo de Maradi, Niger | ||
چکیده | ||
In this paper, we study Ricci semi-symmetric null hypersurfaces in a Lorentzian space form. We give a necessary and sufficient condition for a screen quas-conformal null hypersurface to be Ricci semi-symmetric. We show that every screen quasi-conformal null hypersurface M of R1m+2 such that rank *Aξ < m is Ricci semi-symmetric. Next, we give a local classification of a Ricc semi-symmetric screen conformal null hypersurface of a Lorentzian space form. | ||
کلیدواژهها | ||
Screen shape operator؛ screen quasi-conformal؛ screen conformal؛ screen principal curvatures؛ Ricci- symmetric null hypersurface | ||
مراجع | ||
1. C. Atindogbe and K.L. Duggal, Conformal screen on lightlike hypersurfaces, Int. J. of Pure and Applied Math. 11(2004), 421-442. 2. C. Atindogbe, M. M. Harouna and J. Tossa, Lightlike Hypersurfaces in Lorentzian manifolds with constant screen principal curvatures, Afr. Diaspora J. Math, 16(2) (2014),31-45. 3. C. L. Bejan and K. L. Duggal, Global lightlike manifolds and harmonicity, Kodai Math.J. 28, (2005), 131-145. 4. B.Y. Chen, Geometry of Submanifolds, Pure and Applied Mathematics, New York,Dekker (1973). 5. F. Defever, Ricci-semisymmetric hypersurfaces, Balkan J. of Appl. 5(2000), 81-91. 6. G. de Rham, Sur la r´eductibilit´e d’un espace de Riemann, Comment. Math. Helv.268(1952) 328-344. 7. K.L. Duggal, and A. Bejancu, Lightlike submanifolds of semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, volume 364, 1996. 8. K. L. Duggal and Bayram Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics. Birkh¨user Verlag, Basel, 2010. 9. K. L. Duggal, Constant scalar curvature and warped product globally null manifolds, J.Geom. Phys. 43(4) (2002), 327-340. 10. S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time, Cambridge University Press, London-New York, 1973. 11. M. Navarro, O. Palmas and D.A. Solis, Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications. Math. Nachr. 293(8) (2020), 1534-1553. 12. P.J. Rayan, Homogeneity and some curvature conditions for hypersurfaces, Tohoku Math. J. 2(21) (1969), 363-388. 13. B. O’Neill, Semi-Riemannian geometry, with applications to relativity, volume 103 of Pure and Applied Mathematics. Academic Press, Inc., 1983. 14. B. Sahin, Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry, Turk J. Math. 31(2007), 139-162. | ||
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