New examples of Osserman metrics with nondiagonalizable Jacobi operators |
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| Authors: | J Carlos Díaz-Ramos Ramón Vázquez-Lorenzo |
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| Institution: | Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain |
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| Abstract: | Explicit examples of Osserman 4-manifolds with exactly two distinct eigenvalues of the Jacobi operators, α and β=4α≠0, are given. The former has multiplicity two and is a double root of the minimal polynomial of the Jacobi operators. |
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| Keywords: | 53C50 53B30 |
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