International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Hypersurfaces with harmonic curvature in a space of constant Hessian sectional curvature and Betti numbers of Hessian manifolds

Münevver Yildirim Yilmaz
Department of Mathematics, Faculty of Science and Arts, Firat University, 23119 ElaziÄŸ, Turkey. 
Email: [email protected]

  •  Accepted: 27 September 2010
  •  Published: 04 October 2010

Abstract

In this paper,  the notion of harmonic curvature for Hessian manifolds of constant Hessian sectional curvature is introduced and  two theorems are proved on this subject. Betti numbers of Hessian manifolds that have special features are also studied.

 

Key words: Hypersurface, harmonic curvature, Hessian manifold, Betti numbers.

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