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math.DG2026
Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras
Raymond Hounnonkpe, Ibrahima Bakayoko, Emmanuel Gnandi +1
In this paper, we study pseudo-Riemannian Hom-Lie algebras. We establish Hom-versions of the classical Bochner theorem in both the Riemannian and Lorentzian settings. Finally, we p…
math.DG2026
Ricci Curvature and Betti Numbers of Hessian Manifolds
Emmanuel Gnandi, Stéphane Puechmorel
We study Ricci curvature properties of Hessian metrics on the leaves of the codimension-one foliation generated by the first Koszul form of a closed or…