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arXiv · 2501.01503

Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups

Malika Ait Ben Haddou·Youssef Ayad
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Abstract

We classify, up to automorphism, left invariant Riemannian metrics on 4-dimensional simply connected nonunimodular Lie groups. This is equivalent to classifying, up to automorphism, inner products on 4-dimensional nonunimodular Lie algebras.

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Malika Ait Ben Haddou, Youssef Ayad. 2025-01-02. Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups. https://arxiv.org/abs/2501.01503

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