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

Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 30 March 2024

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