A note on transversal hypersurfaces of Lorentzian almost paracontact manifolds

• Autorzy: Prasad R. , Rai A. , Shukla A. , Tripathi M.
• Języki publikacji: EN

Abstrakty

EN

Transversal hypersurfaces of Lorentzian almost paracontact manifolds are studied. It is proved that transversal hypersurfaces of Lorentzian almost paracontact manifolds admit an almost product structure and almost product Lorentzian metric structure. We shall also derive a formula which gives the relation between the connection with respect to the Lorentzian metric g and that with respect to induced Lorentzian metric G. Some properties of Lorentzian (f, g, u, v, lambda)-structure, transversal hypersurfaces of Lorentzian cosymplectic manifolds and Lorentzian paracontact Sasakian manifolds are also studied.

Słowa kluczowe

EN

Lorentzian almost paracontact manifolds; Lorentzian manifold; transversal hypersurfaces; Sasakian manifold

PL

superprzestrzenie poprzeczne; rozmaitość Lorentziana; rozmaitość Sasakiana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 929--938
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Prasad R.

autor

Rai A.

autor

Shukla A.

autor

Tripathi M.

• Department of Mathematics, University of Allahabad, Allahabad - 211 002, India,

Bibliografia

• [1] K. Matsumoto, On Lorentzian para contact manifold, Bull. Yamagata Univ. Natur. Sci. 12 (1989), 151-156, MR 90m;53075.
• [2] K. Matsumoto and I. Mihai, On a certain transformation in a Lorentzian para Sasakian manifold, Tensor (N.S.) 47 (1988), 189-197. MR909:53032
• [3] S. Prasad and R. H. Ojha, Lorentzian para contact submanifold, Publ. Math. Debrecen 44 (1994), 215-223, MR 959:53085.
• [4] R. Prasad and M. M. Tripathi, Transversal hypersurface of Kenmotsu manifold, Indian. J. Pure Appl. Math. 34 (3), 443-452, March 2003.
• [5] M. M. Tripathi, On semi-invariant submanifolds of Lorentzian almost para contact manifolds, J. Korea. Soc. Math. Educ. Ser. B : Pure Appl. Math. Volume 8, Number 1 (May 2001), page 1-8.
• [6] K. Yano, S. S. Eum and U. H. Ki, On transversal hypersurface of an almost contact manifold, Kodai Math. Sem. Rep, 24 (1972), 459-470.
• [7] K. Yano, M. Kon, Structures on Manifold, World Scientific (1984).