TWO EXAMPLES OF CONFORMALLY OSSERMAN MANIFOLDS

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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Publication Details

Journal
JP Journal of Geometry and Topology
Published
2025-10-02
DOI
https://doi.org/10.17654/0972415x25009
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

TWO EXAMPLES OF CONFORMALLY OSSERMAN MANIFOLDS

Abdoul Salam Diallo, Mouhamadou Aboubekry Boye, Mohamed El Boukhary Mame
JP Journal of Geometry and Topology
Geometric Analysis and Curvature Flows
article

TWO EXAMPLES OF CONFORMALLY OSSERMAN MANIFOLDS

Abdoul Salam Diallo, Mouhamadou Aboubekry Boye, Mohamed El Boukhary Mame
article en

Abstract

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.

JP Journal of Geometry and TopologyVol. 31(2)
Openalex Percentile: Top 62%
Geometric Analysis and Curvature Flows
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TWO EXAMPLES OF CONFORMALLY OSSERMAN MANIFOLDS — Abdoul Salam Diallo, Mouhamadou Aboubekry Boye, et al. · JP Journal of Geometry and Topology (2025) | TGRS Research Map | TGRS