Isometries of the Ebin metric

Published 7 Dec 2025 in math.MG and math.DG | (2512.06958v1)

Abstract: We study the space of Riemannian metrics over a compact manifold equipped with the Ebin metric. We characterize its self-isometries and prove that two such spaces are isometric if and only if their underlying manifolds are diffeomorphic.

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David Lenze

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