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- W2999388081 abstract "A contravariant pseudo-Hessian manifold is a manifold $M$ endowed with a pair $(nabla,h)$ where $nabla$ is a flat connection and $h$ is a symmetric bivector field satisfying a contravariant Codazzi equation. When $h$ is invertible we recover the known notion of pseudo-Hessian manifold. Contravariant pseudo-Hessian manifolds have properties similar to Poisson manifolds and, in fact, to any contravariant pseudo-Hessian manifold $(M,nabla,h)$ we associate naturally a Poisson tensor on $TM$. We investigate these properties and we study in details many classes of such structures in order to highlight the richness of the geometry of these manifolds." @default.
- W2999388081 created "2020-01-23" @default.
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- W2999388081 date "2020-01-11" @default.
- W2999388081 modified "2023-09-26" @default.
- W2999388081 title "Contravariant Pseudo-Hessian manifolds and their associated Poisson structures" @default.
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