Research Article
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Year 2010, Volume: 3 Issue: 1, 16 - 23, 30.04.2010

Makoto Sakaki

Abstract

References

  • [1] Al-Aqeel, A. and Bejancu, A., On the geometry of paracomplex submanifolds, Demonstratio Math., 34 (2001), 919-932.
  • [2] Bejan, C. L. and Duggal, K. L., Global lightlike manifolds and harmonicity, Kodai Math. J., 28 (2005), 131-145.
  • [3] Burdujan, I., On minimal lightlike Monge hypersurfaces of a Lorentz space, An. Stiint. Univ. Al. I. Cuza Iasi. Mat., 47 (2001), 95-103.
  • [4] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, 1996.
  • [5] Gorkavyy, V., On minimal lightlike surfaces in Minkowski space-time, Differ. Geom. Appl., 26 (2008), 133-139.
  • [6] Sakaki, M., Mimimal lightlike hypersurfaces in Lorentzian space forms, Int. J. Pure. Appl. Math., 48 (2008), 595-600.
  • [7] Sakaki, M., Mimimal lightlike hypersurfaces in R4 with integrable screen distribution, Balkan J. Geom. Appl., 14(1) (2009), 84-90.
  • [8] Sakaki, M., Mimimal lightlike Monge hypersurfaces in semi-Euclidean spaces, Int. J. Pure. Appl. Math., 54 (2009), 543-549.

On The Definition of Minimal Lightlike Submanifold

Year 2010, Volume: 3 Issue: 1, 16 - 23, 30.04.2010

Makoto Sakaki

Abstract

 

Keywords

Lightlike submanifold minimal screen distribution paracomplex submanifold semi-Euclidean space

References

  • [1] Al-Aqeel, A. and Bejancu, A., On the geometry of paracomplex submanifolds, Demonstratio Math., 34 (2001), 919-932.
  • [2] Bejan, C. L. and Duggal, K. L., Global lightlike manifolds and harmonicity, Kodai Math. J., 28 (2005), 131-145.
  • [3] Burdujan, I., On minimal lightlike Monge hypersurfaces of a Lorentz space, An. Stiint. Univ. Al. I. Cuza Iasi. Mat., 47 (2001), 95-103.
  • [4] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, 1996.
  • [5] Gorkavyy, V., On minimal lightlike surfaces in Minkowski space-time, Differ. Geom. Appl., 26 (2008), 133-139.
  • [6] Sakaki, M., Mimimal lightlike hypersurfaces in Lorentzian space forms, Int. J. Pure. Appl. Math., 48 (2008), 595-600.
  • [7] Sakaki, M., Mimimal lightlike hypersurfaces in R4 with integrable screen distribution, Balkan J. Geom. Appl., 14(1) (2009), 84-90.
  • [8] Sakaki, M., Mimimal lightlike Monge hypersurfaces in semi-Euclidean spaces, Int. J. Pure. Appl. Math., 54 (2009), 543-549.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Makoto Sakaki

Publication Date April 30, 2010
Published in Issue Year 2010 Volume: 3 Issue: 1

Cite

APA Sakaki, M. (2010). On The Definition of Minimal Lightlike Submanifold. International Electronic Journal of Geometry, 3(1), 16-23.
AMA Sakaki M. On The Definition of Minimal Lightlike Submanifold. Int. Electron. J. Geom. April 2010;3(1):16-23.
Chicago Sakaki, Makoto. “On The Definition of Minimal Lightlike Submanifold”. International Electronic Journal of Geometry 3, no. 1 (April 2010): 16-23.
EndNote Sakaki M (April 1, 2010) On The Definition of Minimal Lightlike Submanifold. International Electronic Journal of Geometry 3 1 16–23.
IEEE M. Sakaki, “On The Definition of Minimal Lightlike Submanifold”, Int. Electron. J. Geom., vol. 3, no. 1, pp. 16–23, 2010.
ISNAD Sakaki, Makoto. “On The Definition of Minimal Lightlike Submanifold”. International Electronic Journal of Geometry 3/1 (April 2010), 16-23.
JAMA Sakaki M. On The Definition of Minimal Lightlike Submanifold. Int. Electron. J. Geom. 2010;3:16–23.
MLA Sakaki, Makoto. “On The Definition of Minimal Lightlike Submanifold”. International Electronic Journal of Geometry, vol. 3, no. 1, 2010, pp. 16-23.
Vancouver Sakaki M. On The Definition of Minimal Lightlike Submanifold. Int. Electron. J. Geom. 2010;3(1):16-23.