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Infinitesimally Euclidean metric surfaces

Year: 2026
Type: preprint
Abstract: We prove the equivalence of several notions of infinitesimally Euclidean-like behaviour for metric surfaces appearing in the literature. We obtain in particular that metric surfaces with property (ET) are universally infinitesimally Hilbertian.
Language: English
Open Access status: green
OpenAlex ID: W7223024306
Cites: 28
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Related to: 10