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SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD

Year 2011, Volume: 01 Issue: 1, 41 - 48, 01.06.2011

Abstract

The present paper deals with different geometrical properties of hyperbolic contact manifold of a quasi sasakian manifold. In the end we studies the properties of the Integrability of the distributions on a hyperbolic contact manifold of a quasi sasakian manifold.

References

  • Bejancu, A., (1978), CR-submanifold of a Kahler manifold, I. Proc. Amer. Math. Soc., 69, 135-142.
  • Bejancu,A., (1986), Geometry of CR-submanifolds, D. Reidel Publishing Company.
  • Bejancu,A. and Papaghiuc, N., (1981), Semi-invariant submanifolds of a Sasakian manifold., An. St. Univ. ”Al. I.Cuza”, Iasi supl. XVII, 1, I-a, 163-170.
  • Blair, D. E., (1967), The theory of quasi Sasakian structures, J. Diff. Geometry, I, 331-345.
  • Blair, D. E., (1976), Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer, Berlin.
  • Calin, C., (1998), Contributions to geometry of CR-submanifolds, Thesis, University ”Al. I. Cuza” lasi, Romania.
  • Goldberg, S. I. and Yano, K., (1970), On normal globally framed f -manifold, Tohoku Math. J., 22, 362-370.
  • Yano, K., (1963), On structure defined by a tensor field f of type (1, 1), satisfying f3+ f = 0, Tensor N.S., 14, 99-109.
  • Calin, C., (2003), On the geometry of hypersurfaces in a quasi- sasakian manifold, Demonstratio Mathematica, Vol.XXXVI, No 2.
Year 2011, Volume: 01 Issue: 1, 41 - 48, 01.06.2011

Abstract

References

  • Bejancu, A., (1978), CR-submanifold of a Kahler manifold, I. Proc. Amer. Math. Soc., 69, 135-142.
  • Bejancu,A., (1986), Geometry of CR-submanifolds, D. Reidel Publishing Company.
  • Bejancu,A. and Papaghiuc, N., (1981), Semi-invariant submanifolds of a Sasakian manifold., An. St. Univ. ”Al. I.Cuza”, Iasi supl. XVII, 1, I-a, 163-170.
  • Blair, D. E., (1967), The theory of quasi Sasakian structures, J. Diff. Geometry, I, 331-345.
  • Blair, D. E., (1976), Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer, Berlin.
  • Calin, C., (1998), Contributions to geometry of CR-submanifolds, Thesis, University ”Al. I. Cuza” lasi, Romania.
  • Goldberg, S. I. and Yano, K., (1970), On normal globally framed f -manifold, Tohoku Math. J., 22, 362-370.
  • Yano, K., (1963), On structure defined by a tensor field f of type (1, 1), satisfying f3+ f = 0, Tensor N.S., 14, 99-109.
  • Calin, C., (2003), On the geometry of hypersurfaces in a quasi- sasakian manifold, Demonstratio Mathematica, Vol.XXXVI, No 2.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Shamsur Rahman This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 01 Issue: 1

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