[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2019.27.4.1061

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)

Publication Information

Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 1061-1075 More about this Journal

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

Product manifolds; Sasakian manifolds; $K{\ddot{a}}hlerian$ manifolds;

Citations & Related Records

Reference

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).