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

Published 2 Jan 2025 in math.DG | (2501.01503v2)

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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