PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds. Integrability conditions of distributions D and RadTM on radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds, have been obtained. We also study totally contact umbilical radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds.
Wydawca
Rocznik
Strony
994--1011
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Department of Mathematics, University of Allahabad, Allahabad-211002, India
autor
  • Department of Mathematics, University of Allahabad, Allahabad-211002, India
Bibliografia
  • [1] D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, 203, Birkhauser Boston, Inc., Boston, MA, 2002.
  • [2] K. L. Duggal, A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Vol. 364 of Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
  • [3] K. L. Duggal, D. H. Jin, Totally umbilical lightlike submanifolds, Kodai Math. J. 26 (2003), 49–68.
  • [4] K. L. Duggal, B. Sahin, Differential Geomety of Lightlike Submanifolds, Birkhauser Verlag AG, Basel, Boston, Berlin, 2010.
  • [5] K. L. Duggal, B. Sahin, Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci., Article ID 57585, 2007.
  • [6] D. L. Johnson, L. B. Whitt, Totally geodesic foliations, J. Differential Geom. 15 (1980), 225–235.
  • [7] S. H. Kon, T. Loo, Totally contact umbilical semi-invariant submanifolds of a Sasakian manifold, SUT J. Math. 38 (2002), 75–82.
  • [8] F. Massamba, Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian manifolds, Kodai Math. J. 31 (2008), 338–358.
  • [9] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
  • [10] B. Sahin, Screen slant lightlike submanifolds, Int. Electronic J. of Geometry 2 (2009), 41–54.
  • [11] B. Sahin, C. Yildirim, Slant lightlike submanifolds of indefinite Sasakian manifolds, Faculty of Sci. and Math., Univ. of Nis, Serbia, 2 (2012), 71–81.
  • [12] M. M. Tripathi, E. Kihc, Y. Perktas, S. Keles, Indefinite almost paracontact metric manifolds, Int. J. Math. Math. Sci., Article ID 846195, 2010.
  • [13] Y. Wang, X. Liu, Generalized transversal lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci., Article ID 361794, 2012.
  • [14] K. Yano, M. Kon, Structures on Manifolds, Vol. 3, Series in Pure Mathematics, World Scientfic, Singapore, 1984.
  • [15] C. Yildrim, B. Sahin, Transversal lightlike submanifolds of indefinite Sasakian manifolds, Turkish J. Math. 34 (2010), 561–583.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d1b1ace0-d554-4039-9a65-b5ce44122ba8
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.