Szabo Osserman IP Pseudo-Riemannian manifolds

Peter Gilkey; Raina Ivanova; Tan Zhang

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Szabo Osserman IP Pseudo-Riemannian manifolds

Peter Gilkey·Raina Ivanova·Tan Zhang

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Abstract

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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BibTeX RIS

Peter Gilkey, Raina Ivanova, Tan Zhang. 2002-05-08. Szabo Osserman IP Pseudo-Riemannian manifolds. https://arxiv.org/abs/math/0205085

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