×

\(h\)-spaces of type \(\{2,2,1\}\) having constant curvature. (Russian. English summary) Zbl 1208.53025

Summary: In order to find projective transformations of a pseudo-Riemannian manifold, one can use A.V. Aminova’s method of skew-orthogonal frames [J. Math. Sci., New York 113, No. 3, 367–470 (2003; Zbl 1043.53054)]. This method makes it possible to reduce the problem to solving Eisenhart equations and generalized Killing equations. In the present paper, we integrate the Eisenhart equations for 5-dimensional \(h\)-spaces of type {2, 1, 1}.

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B10 Projective connections

Citations:

Zbl 1043.53054
PDF BibTeX XML Cite