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Riemannian Hessian metrics. (English) Zbl 1150.53314

Summary: We give explicit formulae for the Christofell symbols and the curvature tensor produced by a semi-Riemannian Hessian metric. Selected examples of Riemannian Hessian metrics and their geometrics are provided.

MSC:

53B20 Local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53C22 Geodesics in global differential geometry
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