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TWO EXAMPLES OF CONFORMALLY OSSERMAN MANIFOLDS
Keywords:
conformal Jacobi operator, conformally Osserman manifold, Weyl conformal curvature operatorDOI:
https://doi.org/10.17654/0972415X25009Abstract
Let $\left(M^n, g\right), \quad n \geq 4$ be an $n$-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.
Received: August 11, 2025
Revised: August 24, 2025
Accepted: September 13, 2025
References
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