Research Article
BibTex RIS Cite
Year 2012, Volume: 5 Issue: 2, 36 - 58, 30.10.2012

Abstract

References

  • [1] Bejancu, A., Umbilical Semi-invariant submanifolds of a Sasakian manifold, Tensor N. S. 37 (1982), 203-213.
  • [2] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathe- matics 203. Birkhauser Boston, Inc., Boston, MA 2002.
  • [3] Duggal, K. L. and Bejancu, A., Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, 1996.
  • [4] Bonome, A., Castro, R., Garc´ıa-Rio, E. and Hervella, L., Curvature of indefinite almost contact manifolds, J. geom., 58 (1997), 66-86.
  • [5] Dajczer, M. et al., Submanifolds and isometric immersions. Mathematics lecture series 13. Publish or Perish, Inc., Houston, Texas, 1990.
  • [6] Defever, F., Ricci semi-symmetric hypersurfaces, Balkan J. of Geometry and Its Appl., 5 (1) (2000), 81-91.
  • [7] Duggal, K. L., On scalar curvature in lightlike geometry, J. Geom. Phys. 57 (2)(2007), 473- 481.
  • [8] Duggal, K. L. and Jin, D. H., Null curves and hypersurfaces of semi-Riemannian manifolds, World Scientific Publishing Co. Pte. Ltd, 2007.
  • [9] Duggal, K. L. and Sahin, B., Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics, 2010.
  • [10] Günes, R., Sahin, B., and Kili¸c, E., On lightlike hypersurfaces of semi-Riemannian space form, Turkish J. Math. 27 (2003), 283-297.
  • [11] Janssens, D. and Vanhecke, L., Almost contact structures and curvature tensors, Kodai Math. J., 4 (1981), 1-27.
  • [12] Jin, D. H., Screen conformal lightlike hypersurfaces of a semi-Riemannian space form, J. Korea Soc. Math. Educ. Ser. B: Pure Appl. Math. 16 no. 3 (2009), 271-276.
  • [13] Jun, J.-B., De, U. C. and Pathak, G., On Kenmotsu manifolds, J. Korean Math. Soc., 42, 3 (2005), 435-445.
  • [14] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103.
  • [15] Kupeli, D. N., Singular semi-invariant geometry, vol. 366 of Mathematics and Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
  • [16] Lungiambudila, O., Massamba, F. and Tossa, J., Symmetry properties of lightlike hypersur- face in indefinite Sasakian manifolds, SUT J. Math. 46 (2)(2010), 177-204.
  • [17] Massamba, F., Lightlike hypersurfaces of indefinite Sasakian manifolds with parallel symmet- ric bilinear forms, Differ. Geom. Dyn. Syst., 10 (2008), 226-234.
  • [18] Massamba, F., Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian mani- folds, Kodai Math. J., 31 (2008), 338-358.
  • [19] Massamba, F., Killing and geodesic lightlike hypersurfaces of indefinite Sasakian manifolds, Turk J. Math., 32 (2008), 325-347.
  • [20] Massamba, F., Screen integrable lightlike hypersurfaces of indefinite Sasakian manifolds, Mediterr. J. Math, 6 (2009), 27-46.
  • [21] Massamba, F., On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds, J. Geom., 95 (2009), 73-89.
  • [22] Massamba, F., Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds, Turk. J. Math., 35 (2011), 129-149
  • [23] Massamba, F., On lightlike geometry in indefinite Kenmotsu manifolds, Math. Slovaca 62 (2)(2012), 315-344.
  • [24] Massamba, F., Lightlike geometry of leaves in indefinite Kenmotsu manifolds, Cubo 13 (3) (2011), 69-89.
  • [25] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Vol. 103 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1983.
  • [26] Sahin, B., Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry, Turkish J. Math. 31 (2007) 139-162.

SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS

Year 2012, Volume: 5 Issue: 2, 36 - 58, 30.10.2012

Abstract


References

  • [1] Bejancu, A., Umbilical Semi-invariant submanifolds of a Sasakian manifold, Tensor N. S. 37 (1982), 203-213.
  • [2] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathe- matics 203. Birkhauser Boston, Inc., Boston, MA 2002.
  • [3] Duggal, K. L. and Bejancu, A., Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, 1996.
  • [4] Bonome, A., Castro, R., Garc´ıa-Rio, E. and Hervella, L., Curvature of indefinite almost contact manifolds, J. geom., 58 (1997), 66-86.
  • [5] Dajczer, M. et al., Submanifolds and isometric immersions. Mathematics lecture series 13. Publish or Perish, Inc., Houston, Texas, 1990.
  • [6] Defever, F., Ricci semi-symmetric hypersurfaces, Balkan J. of Geometry and Its Appl., 5 (1) (2000), 81-91.
  • [7] Duggal, K. L., On scalar curvature in lightlike geometry, J. Geom. Phys. 57 (2)(2007), 473- 481.
  • [8] Duggal, K. L. and Jin, D. H., Null curves and hypersurfaces of semi-Riemannian manifolds, World Scientific Publishing Co. Pte. Ltd, 2007.
  • [9] Duggal, K. L. and Sahin, B., Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics, 2010.
  • [10] Günes, R., Sahin, B., and Kili¸c, E., On lightlike hypersurfaces of semi-Riemannian space form, Turkish J. Math. 27 (2003), 283-297.
  • [11] Janssens, D. and Vanhecke, L., Almost contact structures and curvature tensors, Kodai Math. J., 4 (1981), 1-27.
  • [12] Jin, D. H., Screen conformal lightlike hypersurfaces of a semi-Riemannian space form, J. Korea Soc. Math. Educ. Ser. B: Pure Appl. Math. 16 no. 3 (2009), 271-276.
  • [13] Jun, J.-B., De, U. C. and Pathak, G., On Kenmotsu manifolds, J. Korean Math. Soc., 42, 3 (2005), 435-445.
  • [14] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103.
  • [15] Kupeli, D. N., Singular semi-invariant geometry, vol. 366 of Mathematics and Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
  • [16] Lungiambudila, O., Massamba, F. and Tossa, J., Symmetry properties of lightlike hypersur- face in indefinite Sasakian manifolds, SUT J. Math. 46 (2)(2010), 177-204.
  • [17] Massamba, F., Lightlike hypersurfaces of indefinite Sasakian manifolds with parallel symmet- ric bilinear forms, Differ. Geom. Dyn. Syst., 10 (2008), 226-234.
  • [18] Massamba, F., Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian mani- folds, Kodai Math. J., 31 (2008), 338-358.
  • [19] Massamba, F., Killing and geodesic lightlike hypersurfaces of indefinite Sasakian manifolds, Turk J. Math., 32 (2008), 325-347.
  • [20] Massamba, F., Screen integrable lightlike hypersurfaces of indefinite Sasakian manifolds, Mediterr. J. Math, 6 (2009), 27-46.
  • [21] Massamba, F., On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds, J. Geom., 95 (2009), 73-89.
  • [22] Massamba, F., Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds, Turk. J. Math., 35 (2011), 129-149
  • [23] Massamba, F., On lightlike geometry in indefinite Kenmotsu manifolds, Math. Slovaca 62 (2)(2012), 315-344.
  • [24] Massamba, F., Lightlike geometry of leaves in indefinite Kenmotsu manifolds, Cubo 13 (3) (2011), 69-89.
  • [25] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Vol. 103 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1983.
  • [26] Sahin, B., Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry, Turkish J. Math. 31 (2007) 139-162.
There are 26 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Fortune Massamba This is me

Publication Date October 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 2

Cite

APA Massamba, F. (2012). SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS. International Electronic Journal of Geometry, 5(2), 36-58.
AMA Massamba F. SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS. Int. Electron. J. Geom. October 2012;5(2):36-58.
Chicago Massamba, Fortune. “SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS”. International Electronic Journal of Geometry 5, no. 2 (October 2012): 36-58.
EndNote Massamba F (October 1, 2012) SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS. International Electronic Journal of Geometry 5 2 36–58.
IEEE F. Massamba, “SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS”, Int. Electron. J. Geom., vol. 5, no. 2, pp. 36–58, 2012.
ISNAD Massamba, Fortune. “SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS”. International Electronic Journal of Geometry 5/2 (October 2012), 36-58.
JAMA Massamba F. SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS. Int. Electron. J. Geom. 2012;5:36–58.
MLA Massamba, Fortune. “SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS”. International Electronic Journal of Geometry, vol. 5, no. 2, 2012, pp. 36-58.
Vancouver Massamba F. SCREEN ALMOST CONFORMAL LIGHTLIKE GEOMETRY IN INDEFINITE KENMOTSU SPACE FORMS. Int. Electron. J. Geom. 2012;5(2):36-58.