A survey on curvatures of Hessian manifolds. (English) Zbl 1146.53304
Summary: This paper deals with the relationship of curvatures between Hessian and Riemannian manifolds. By making use of the methods of H. Shima [J. Math. Soc. Japan 47, No. 4, 735–753 (1995; Zbl 0845.53033)] we investigate a new approach to the curvatures of a manifold. Finally, some results are mentioned in the concluding remarks.
MSC:
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C05 | Connections (general theory) |
Citations:
Zbl 0845.53033References:
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