Szabo Osserman IP pseudo-Riemannian manifolds
Copyright policy )Szabo Osserman IP pseudo-Riemannian manifolds
We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their domains of definition. This provides new and non-trivial examples of Osserman, Szabo, and IP manifolds. We also study when the associated Jordan normal form of these operators is constant.
Mathematics - Differential Geometry, Local Riemannian geometry, IP manifolds, Differential Geometry (math.DG), Szabó operator, FOS: Mathematics, 53B20, geometry of the curvature operator, Jacobi operator, Osserman manifolds
Mathematics - Differential Geometry, Local Riemannian geometry, IP manifolds, Differential Geometry (math.DG), Szabó operator, FOS: Mathematics, 53B20, geometry of the curvature operator, Jacobi operator, Osserman manifolds
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