A remark on vanishing geodesic distances in infinite dimensions

Valentino Magnani, Daniele Tiberio

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https://doi.org/10.1090/proc/14986

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Journal: Proceedings of the American Mathematical Society	Publication Date: Mar 4, 2020
Citations: 2	License type: publisher-specific, author manuscript

Abstract

We observe that a vanishing geodesic distance arising from a weak Riemannian metric in a Hilbert manifold can be constructed.

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