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Keywords:
self-dual manifolds; manifolds of neutral signature; Jacobi operator; Einstein manifolds
self-dual manifolds; manifolds of neutral signature; Jacobi operator; Einstein manifolds
Summary:
The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature $(--++)$) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.
References:
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