Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators

By J. Díaz-Ramos, E. García‐Río, Ramón Vázquez-Lorenzo. 2005

56 citations recorded by the source corpus.

A complete description of Osserman four-manifolds whose Jacobi operators have a nonzero double root of the minimal polynomial is given.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4dc810aa13dd8cbd1db3dafb8e2d01d90dcefcff

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In Applied Mathematics

1. E. García‐Río
2. Ramón Vázquez-Lorenzo
3. Huaihuo Cao

In Geometry and Topology

1. E. García‐Río
2. Huaihuo Cao

In Mathematical Physics

1. Stefano Serra-Capizzano

Citations in the corpus

• The geometry of modified Riemannian extensions (2009, background): “al Osserman manifold of neutral signature whose Jacobi operators have a non-zero double root of their minimal polynomial is necessarily Walker with a parallel field of planes of maximal dimensionality [6, 18]. 4.3. Walker coordinates. Walker [35] (see also the discussion in [15]) constructed simplifie”