Kyungpook Mathematical Journal

  • 제56권2호
  • /
  • Pages.625-638
  • /
  • 2016
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지
DOI QR코드

DOI QR Code

Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

  • 투고 : 2015.05.01
  • 심사 : 2016.02.05
  • 발행 : 2016.06.23
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce the notion of semi-slant lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions $D_1$, $D_2$ and RadTM on semi-slant lightlike submanifolds of an indefinite Sasakian manifold have been obtained. We also obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic.

키워드

참고문헌

  1. C. L. Bejan and K. L. Duggal, Global Lightlike Manifolds and Harmonicity, Kodai Math. J., 28(2005), 131-145. https://doi.org/10.2996/kmj/1111588042
  2. D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, 203, Birkhauser Boston, Inc., Boston, MA, 2002.
  3. J. L. Cabrerizo, A. Carriazo, L. M. Fernandez and M. Fernandez, Slant Submanifolds in Sasakian manifolds, Glasgow Math J., 42(2000), 125-138. https://doi.org/10.1017/S0017089500010156
  4. J. L. Cabrerizo, A. Carriazo, L. M. Fernandez and M. Fernandez, Semi-slant Submanifolds of a Sasakian manifold, Geometriae Dedicata, 78(1999), 183-199. https://doi.org/10.1023/A:1005241320631
  5. B. Y. Chen, Geometry of Slant Submanifolds, Katholieke Universiteit, Leuven, 1990.
  6. K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Vol. 364 of Mathematics and its applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
  7. K. L. Duggal and B. Sahin, Differential Geomety of Lightlike Submanifolds, Birkhauser Verlag AG, Basel, Boston, Berlin, 2010.
  8. K. L. Duggal and B. Sahin, Lightlike Submanifolds of Indefinite Sasakian Manifolds, Int. J. of Math. Math. Sci., Article ID 57585, 2007.
  9. D. L. Johnson and L. B. Whitt, Totally Geodesic Foliations, J. Differential Geometry, 15(1980), 225-235. https://doi.org/10.4310/jdg/1214435492
  10. A. Lotta, Slant Submanifolds in Contact geometry, Bull. Math. Soc. Roumanie, 39(1996), 183-198.
  11. B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press New York, 1983.
  12. B. Sahin, Screen Slant Lightlike Submanifolds, Int. Electronic J. of Geometry, 2(2009), 41-54.
  13. B. Sahin and C. Yildirim, Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds, Faculty of Sci. and Math., Univ. of Nis, Serbia, 2(2012), 277-287.
  14. S. S. Shukla and A. Yadav, Lightlike submanifolds of indefinite para-Sasakian manifolds, Matematicki Vesnik, 66(4)(2014), 371-386.
  15. S. S. Shukla and A. Yadav, Radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds, Demonstratio Math., 47(4)(2014), 994-1011.