Udrişte, Constantin; Bercu, Gabriel Riemannian Hessian metrics. (English) Zbl 1150.53314 An. Univ. Bucur., Mat. 54, No. 1, 189-204 (2005). 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. Cited in 3 Documents MSC: 53B20 Local Riemannian geometry 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 53C22 Geodesics in global differential geometry Keywords:Hessian metric; connection; curvature; geodesics; completeness PDFBibTeX XMLCite \textit{C. Udrişte} and \textit{G. Bercu}, An. Univ. Bucur., Mat. 54, No. 1, 189--204 (2005; Zbl 1150.53314)