Szabo Osserman IP Pseudo-Riemannian manifolds

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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.

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Differential Geometry, 53B20

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http://salesiana.dossiersoluciones.com/handle/123456789/64016

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205085
 http://arxiv.org/abs/math/0205085

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arXiv