Isometries of the Ebin metric

David Lenze

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arXiv · 2512.06958

Isometries of the Ebin metric

David Lenze

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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. 2025-12-07. Isometries of the Ebin metric. https://arxiv.org/abs/2512.06958

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