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Abstrakty
The purpose of the present paper is to study generalized CR- submanifolds of the trans hyperbolic Sasakian manifold and obtained their basic properties. The conditions under which the distribution of generalized CR-submanifolds of the trans hyperbolic Sasakian manifold is integrable have been obtained. Totally geodesic generalized CR- submanifolds of the trans hyperbolic Sasakian manifold have also been studied.
Wydawca
Czasopismo
Rocznik
Tom
Strony
953--960
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
- Department of Mathematics Statistics and Computer Science, CBSH, G.B. Pant Univ. of Ag. and Tech., Pantnagar-263145, Uttaranchal, India
autor
- Department of Mathematics Statistics and Computer Science, CBSH, G.B. Pant Univ. of Ag. and Tech., Pantnagar-263145, Uttaranchal, India
Bibliografia
- [1] A. Bejancu, CR-submanifold of a Kaehler manifold, I, Proc. Amer. Math. Soc. 69 (1978), 135-42.
- [2] A. Bejancu, CR-submanifold of a Kaehler manifold, II, Trans. Amer. Math. Soc. 250 (1979), 331-45.
- [3] A. Bejancu and N. Papaghuic, An almost semi-invariant submanifold of Sasakian manifold, Bull. Math. Roumanie, Tome 28 (76) (1984), nr 1, 13-18.
- [4] I. Mihai, Geometry and Topology of Submanifolds, Vol. VII, World Scientific, Singapore, (1995), 186-88.
- [5] I. Mihai, Geometry and Topology of Submanifolds, Vol. VIII, World Scientific, Singapore, (1996), 265-68.
- [6] J. A. Oubina, New classes of almost contact metric structures, Publ. Math. Debrecen 32 (1985), 187-93.
- [7] L. Bhatt and K. K. Dube, On CR-submanifold of trans hyperbolic Sasakian manifold, Acta Cienc. Indica 29, No. 1, (2003), 91-96.
- [8] M. Kobayashi, CR-submanifold of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307.
- [9] M. D. Upadhyay and K. K. Dube, Almost contact hyperbolic (f, g, η, ξ)-structure, Acta Math. Acad. Scient. Hung. 28 (1976), 13-15.
- [10] N. K. Joshi and K. K. Dube, Semi invariant submanihld of an almost r-contact hyperbolic metric manifold, Demonstratio Math. 34, no. 1 (2001), 135-143.
- [11] R. B. Pal, Submanifolds of hyperbolic contact metric manifold, Acta Cienc. Indica Math. 22 (1996), 399-404.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0011-0020