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Abstrakty
After brief introduction, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of indefinite Sasakian manifold to be a contact CR-lightlike product.
Wydawca
Czasopismo
Rocznik
Tom
Strony
170--178
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Baba Banda Singh Bahadur Engineering College Fathehgarh Sahib, India
autor
- Department of Basic and Applied Sciences, Punjabi University, Patiala, India
autor
- Department of Mathematics, Punjabi University, Patiala, India
Bibliografia
- [1] V. I. Arnold, Contact geometry: the geometrical method of Gibbs’s thermodynamodynamics, Proceedings of the Gibbs Symposium (New Haven, CT, 1989), 1990, 163–179.
- [2] A. Bejancu, CR-submanifolds of a Kaehler manifold-I, Proc. Amer. Math. Soc. 69 (1978), 135–142.
- [3] A. Bejancu, CR-submanifolds of a Kaehler manifold-II, Trans. Amer. Math. Soc. 250 (1979), 333–345.
- [4] A. Bejancu, M. Kon, K. Yano, CR-submanifolds of a complex space form, J. Differential Geom. 16 (1981), 137–145.
- [5] B. Y. Chen, CR-submanifolds of a Kaehler manifold-I, J. Differential Geom. 16 (1981), 305–322.
- [6] B. Y. Chen, CR-submanifolds of a Kaehler manifold-II, J. Differential Geom. 16 (1981), 493–509.
- [7] K. L. Duggal, A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and its Applications 364, Kluwer Academic Publishers, 1996.
- [8] K. L. Duggal, B. Sahin, Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci. Vol. 2007, Article ID 57585, 21 pages.
- [9] M. Kobayashi, CR-submanifolds of a Sasakian manifold, Tensor (N.S.) 35 (1981), 297–307.
- [10] R. Kumar, R. Rani, R. K. Nagaich, On sectional curvatures of p_q-Sasakian manifolds, Int. J. Math. Math. Sci. Vol. 2007, Article ID 93562, 8 pages.
- [11] S. Maclane, Geometrical Mechanics II, Lecture Notes, University of Chicago, 1968.
- [12] V. E. Nazaikinskii, V. E. Shatalov, B. Y. Sternin, Contact Geometry and Linear Differential Equations, De Gruyter Expositions in Mathematics 6, Walter de Gruyter, 1992.
- [13] K. Yano, M. Kon, Contact CR-submanifolds, Kodai Math. J. 5 (1982), 238–252.
- [14] K. Yano, M. Kon, CR-submanifolds of a Kaehlerien and Sasakian Manifolds, Birkhauser, Boston, 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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