DOI QR코드

DOI QR Code

SASAKIAN STRUCTURES ON PRODUCTS OF REAL LINE AND KÄHLERIAN MANIFOLD

  • Beldjilali, Gherici (Departement de Mathematiques, Faculte des sciences exactes Universite de Mascara) ;
  • Cherif, Ahmed Mohammed (Departement de Mathematiques, Faculte des sciences exactes Universite de Mascara) ;
  • Zaga, Kaddour (Departement de Mathematiques, Faculte des sciences exactes Universite de Mascara)
  • Received : 2019.08.13
  • Accepted : 2019.11.06
  • Published : 2019.12.30

Abstract

In this paper, we construct a Sasakian manifold by the product of real line and Kählerian manifold with exact Kähler form. This result demonstrates the close relation between Sasakian and Kählerian manifold with exact Kähler form. We present an example and an open problem.

Keywords

References

  1. D. E. Blair,Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics Vol. 203, Birhauser, Boston, (2002).
  2. C.P. Boyer, K. Galicki, Sasakian Geometry, Oxford Univ. Press, Oxford, 2007.
  3. S. Kobayashi, and K. Nomizu, Foundations of Differential Geometry I, II, Interscience Tract., 1963, 1969.
  4. O'Neil, Semi- Riemannian Geometry, Academic Press, New York, 1983.
  5. J. A. Oubina, New classes of almost contact metric structures. Publ. Math. Debrecen, 32 (1985), 187-193.
  6. K. Yano, M. Kon, Structures on Manifolds, Series in Pure Math., Vol MAT, World Sci.,(1984).