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arXiv · 1604.05424

On twisted Riemannian extensions associated with Szab\'o metrics

Abdoul Salam Diallo·Silas Longwap·Fortuné Massamba
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Abstract

Let $M$ be an $n$-dimensional manifold with a torsion free affine connection $\nabla$ and let $T^*M$ be the cotangent bundle. In this paper, we consider some of the geometrical aspect of a twisted Riemannian extension which provide a link between the affine geometry of $(M,\nabla)$ and the neutral signature pseudo-Riemannian geometry of $T^*M$. We investigate the spectral geometry of the Szab\'o operator on $M$ and on $T^*M$.

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Abdoul Salam Diallo, Silas Longwap, Fortuné Massamba. 2016-04-19. On twisted Riemannian extensions associated with Szab\'o metrics. https://arxiv.org/abs/1604.05424

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