An example of conformally Osserman manifold

Document Type : Original Article

Authors

1 DÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC, UNIVERSITÉ ALIOUNE DIOP, Bamby, Senegal

2 DÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC, UNIVERSITÉ ALIOUNE DIOP, Bambey, Senegal

3 DÉPARTEMENT DE MATHÉMATIQUES ET INFORMATIQUES, FST, UNIVERSITÉ DE NOUAKCHOTT, Akjoujt, Mauritanie

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.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 5, Issue 1
2024
Pages 25-33

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