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

著者情報

キーワード: Osserman manifolds, complex, paracomplex, quaternionic and paraquaternionic space forms, Cayley planes, Clifford structures

ジャーナルフリー

2002 年 54 巻 4 号 p. 847-875

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

詳細

抄録

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.