An example of conformally Osserman manifold

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Boye Mouhamadou Aboubekry; Diallo Abdoul Salam; Mame Mohamed El Boukhary

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Journal Paper

Paper Information

Journal: Journal of Finsler Geometry and its Applications Year:2024 | Volume:5 | Issue:1 Page(s): 25-33

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Information Journal Paper

Title

An example of conformally Osserman manifold

Author(s)

Boye Mouhamadou Aboubekry | Diallo Abdoul Salam | Mame Mohamed El Boukhary | Issue Writer Certificate

Keywords

conformal Jacobi operator

conformally Osserman manifold

Weyl conformal curvature operator

Abstract

In this paper, we investigate pseudo-Riemannian manifolds those eigenvalues of the Weyl conformal Jacobi operators are constant on the unit sphere bundles. Using a result of [4], we give an explicit construction of conformally Osserman manifold which is not locally conformally flat.

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