A remark on vanishing geodesic distances in infinite dimensions

Magnani, Valentino; Tiberio, Daniele

doi:10.1090/proc/14986

A remark on vanishing geodesic distances in infinite dimensions
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by Valentino Magnani and Daniele Tiberio PDF

Proc. Amer. Math. Soc. 148 (2020), 3653-3656 Request permission

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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