Isometries of the Ebin metric
Metric Geometry
2025-12-09 v1 Differential Geometry
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.
Cite
@article{arxiv.2512.06958,
title = {Isometries of the Ebin metric},
author = {David Lenze},
journal= {arXiv preprint arXiv:2512.06958},
year = {2025}
}
Comments
21 pages, 4 figures