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A survey on curvatures of Hessian manifolds

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  • Yilmaz, Münevver Yildirim
  • Bektaş, Mehmet

Abstract

This paper deals with the relationship of curvatures between Hessian and Riemannian manifolds. By making use of the methods of Shima [Shima H. Hessian manifolds of constant Hessian sectional curvature. J Math Soc Jpn 1995;47(4):735–53] we investigate a new approach to the curvatures of a manifold. Finally, some results are mentioned in the concluding remarks.

Suggested Citation

  • Yilmaz, Münevver Yildirim & Bektaş, Mehmet, 2008. "A survey on curvatures of Hessian manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 620-630.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:3:p:620-630
    DOI: 10.1016/j.chaos.2008.01.026
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "String theory, exceptional Lie groups hierarchy and the structural constant of the universe," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 7-12.
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