Equivalence between the Osserman condition and the Raki\'c duality principle in dimension four
classification
🧮 math.DG
keywords
dualityossermanprinciplerakiconditionconditionsconstantdimension
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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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