Locally conformal flat Riemannian manifolds with constant principal Ricci curvatures and locally conformal flat C-spaces

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dc.creatorIvanov, Stefan
dc.creatorPetrova, Irina
dc.date1997-02-11
dc.date.accessioned2026-07-07T09:12:58Z
dc.date.available2026-07-07T09:12:58Z
dc.descriptionIt is proved that every locally conformal flat Riemannian manifold all of whose Jacobi operators have constant eigenvalues along every geodesic is with constant principal Ricci curvatures. A local classification (up to an isometry) of locally conformal flat Riemannian manifold with constant Ricci eigenvalues is given in dimensions 4,5,6,7 and 8. It is shown that any n-dimensional $(4\leq n \leq 8)$ locally conformal flat Riemannian manifold with constant principal Ricci curvatures is a Riemannian locally symmetric space.
dc.description10 pages, Latex format, no figers
dc.identifierhttps://arxiv.org/abs/dg-ga/9702009
dc.identifierhttp://arxiv.org/abs/dg-ga/9702009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152206
dc.subjectDifferential Geometry
dc.titleLocally conformal flat Riemannian manifolds with constant principal Ricci curvatures and locally conformal flat C-spaces
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