Equivalence between the Osserman condition and the Rakić duality principle in dimension four

Details Equivalence between the Osserman condition and the Rakić duality principle in dimension four Equivalence between the Osserman condition and the Rakić duality principle in dimension four

2011-09-02

arxiv.org/abs/1109.0386v1

Mathematics

Differential Geometry

Scientific paper

We show that 4-dimensional Riemannian manifolds which satisfy the Raki\'c
duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are
constant), thus both conditions are equivalent.

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