Hasna Essoufi

activity

20182024

collaborators

3 papers

math.DG2024

Real Left-Symmetric Algebras with Positive Definite Koszul Form and Kähler-Einstein Structures

Mohamed Boucetta, Hasna Essoufi

Let $(g, ∙)$ be a real left symmetric algebra, and $(g^{-}, [,])$ the corresponding Lie algebra. We denote by $L$ the left multiplication operator ass…

math.DG2019

The geometry of the Sasaki metric on the sphere bundle of Euclidean Atiyah vector bundles

Mohamed Boucetta, Hasna Essoufi

Let $(M, ⟨, ⟩_{T M})$ be a Riemannian manifold. It is well-known that the Sasaki metric on $T M$ is very rigid but it has nice properties when restricted to $T^{(r)}M=\{u\i…

math.DG2018

The geometry of generalized Cheeger-Gromoll metrics on the total space of transitive Euclidean Lie algebroids

Mohamed Boucetta, Hasna Essoufi

Natural metrics (Sasaki metric, Cheeger-Gromoll metric, Kaluza-Klein metrics etc.. ) on the tangent bundle of a Riemannian manifold is a central topic in Riemannian geometry. Gener…