Pseudo-Riemannian manifolds with simple Jacobi operators

Agustin BONOME; Regina CASTRO; Eduardo GARCIA-RIO; Luis HERVELLA; Ramón VÁZQUEZ-LORENZO

doi:10.2969/jmsj/1191591994

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Pseudo-Riemannian manifolds with simple Jacobi operators

Agustin BONOME, Regina CASTRO, Eduardo GARCIA-RIO, Luis HERVELLA, Ramón VÁZQUEZ-LORENZO

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Keywords: Osserman manifolds, complex, paracomplex, quaternionic and paraquaternionic space forms, Cayley planes, Clifford structures

JOURNAL FREE ACCESS

2002 Volume 54 Issue 4 Pages 847-875

DOI https://doi.org/10.2969/jmsj/1191591994

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Abstract

Osserman pseudo-Riemannian manifolds with diagonalizable Jacobi operators are studied. A classification of such manifolds is achieved under two conditions on the number of different eigenvalues of the Jacobi operators and their associated eigenspaces.

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