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October, 2002 Pseudo-Riemannian manifolds with simple Jacobi operators
Agustin BONOME, Regina CASTRO, Eduardo GARCÍA-RÍO, Luis HERVELLA, Ramón VÁZQUEZ-LORENZO
J. Math. Soc. Japan 54(4): 847-875 (October, 2002). DOI: 10.2969/jmsj/1191591994

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 elgenspaces.

Citation

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Agustin BONOME. Regina CASTRO. Eduardo GARCÍA-RÍO. Luis HERVELLA. Ramón VÁZQUEZ-LORENZO. "Pseudo-Riemannian manifolds with simple Jacobi operators." J. Math. Soc. Japan 54 (4) 847 - 875, October, 2002. https://doi.org/10.2969/jmsj/1191591994

Information

Published: October, 2002
First available in Project Euclid: 5 October 2007

zbMATH: 1042.53011
MathSciNet: MR1921089
Digital Object Identifier: 10.2969/jmsj/1191591994

Subjects:
Primary: 53B20 , 53B30 , 53C50

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

Rights: Copyright © 2002 Mathematical Society of Japan

Vol.54 • No. 4 • October, 2002
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