A survey on curvatures of Hessian manifolds

Münevver Yildirim Yilmaz and Mehmet Bektaş

Chaos, Solitons & Fractals, 2008, vol. 38, issue 3, 620-630

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:3:p:620-630

DOI: 10.1016/j.chaos.2008.01.026

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