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This research identifies two examples of conformally osserman manifolds, revealing unique eigenvalue patterns.
Let be an -dimensional pseudo-Riemannian manifold whose Jacobi operator associated with the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit tangent vectors, i.e., a conformally Osserman manifold. In this paper, using arguments from Brozos-Vázquez et al. [6], we construct two examples of conformally Osserman manifolds exhibiting distinct eigenvalue structures.
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Boye et al. (2025) studied this question.
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