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arXiv · 2606.15704

Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras

Raymond Hounnonkpe·Ibrahima Bakayoko·Emmanuel Gnandi·Joel Tossa
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Abstract

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 prove that the space of Killing vectors on a pseudo-Riemannian Hom-Lie algebra forms a totally geodesic Hom-Lie subalgebra.

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Raymond Hounnonkpe, Ibrahima Bakayoko, Emmanuel Gnandi, Joel Tossa. 2026-06-14. Killing Vectors and Bochner-Type Theorems in Pseudo-Riemannian Hom-Lie Algebras. https://arxiv.org/abs/2606.15704

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