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Abstrakty
In this paper we introduce the notion of semi-invariant submanifolds of a Lorentzian almost contact manifold. We study their principal characteristics and the particular cases in which the manifold is a Lorentzian Sasakian manifold or a Lorentzian Sasakian space form.
Wydawca
Czasopismo
Rocznik
Tom
Strony
391--406
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Departamento de Economía, Métodos Cuantitativos e Historia Económica, Área de Estadística e Investigación Operativa, Universidad Pablo de Olavide, Ctra. de Utrera, Km. 1, 41013 – Sevilla, Spain
Bibliografia
- [1] A. Bejancu, CR submanifolds of a Kaehler manifold. I. Proc. Amer. Math. Soc. 69 (1978), no. 1, 135–142.
- [2] A. Bejancu, N. Papaghiuc, Semi-invariant submanifolds of a Sasakian manifold, An. Ştinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 27 (1981), 163–170.
- [3] A. Bejancu, N. Papaghiuc, Semi-invariant submanifolds of a Sasakian space form, Colloq. Math. 48 (1984), 77–88.
- [4] C.-L. Bejan, Almost semi-invariant submanifolds of a cosymplectic manifold, An. Ştinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 31 (1985), 149–156.
- [5] A. Cabras, P. Matzeu, Almost semi-invariant submanifolds of a cosymplectic manifold, Demonstratio Math. 19 (1986), 395–401.
- [6] J. L. Cabrerizo, A. Carriazo, L. M. Fernández, M. Fernández, Semi-Slant submanifolds in Sasakian manifolds, Geom. Dedicata 78 (1999), 183–199.
- [7] H. Gill, K. K. Dube, Generalized CR-submanifolds of the trans hyperbolic Sasakian manifold, Demonstratio Math. 38 (2005), 953–960.
- [8] H. Gill, K. K. Dube, Generalized CR-submanifolds of a trans Lorentzian para Sasakian manifold, Proc. Natl. Acad. Sci. India Sect. A Phys. Sci. 76(A), II, (2006), 119–124.
- [9] Kalpana, G. Guha, Semi-invariant submanifold of a Lorentzian para-Sasakian
- manifold, Ganit 13 (1993), 71–76.
- [10] T. Ikawa, Spacelike maximal surfaces with constant scalar normal curvature in a normal contact Lorentzian manifold, Bull. Malaysian Math. Soc. 21 (1998), 31–36.
- [11] N. Papaghiuc, Almost semi-invariant submanifolds in Sasakian Space forms, An. Ştinţ. Univ. Iaşi. Mat. (N.S.) 29 (1983), 5–10.
- [12] N. Papaghiuc, Some theorems on semi-invariant submanifolds of a Sasakian manifold, An. Ştinţ. Univ. Al. I. Cuza Iaş. Mat. (N.S.) 32 (1986), 73–76.
- [13] M. M. Tripathi, Some characterizations of CR-submanifolds of generalized complex space forms, Kuwait J. Sci. Engrg. 23 (1996), 133–138.
- [14] K. Yano, M. Kon, CR Submanifolds of Kaehlerian and Sasakian Manifolds, Birkhäuser, Boston, 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b43abfe4-89c0-4939-92a2-82c6cbd623e4