2026-06-27T16:19:28Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/422892025-12-10T13:03:48Zcom_20.500.14352_14col_20.500.14352_15

Garrido Carballo, María Isabel Jaramillo Aguado, Jesús Ángel Rangel, Yenny C. 2023-06-20T00:15:40Z 2023-06-20T00:15:40Z 2009-12 Garrido, Isabel, et al. «Algebras of Differentiable Functions on Riemannian Manifolds». Bulletin of the London Mathematical Society, vol. 41, n.o 6, diciembre de 2009, pp. 993-1001. DOI.org (Crossref), https://doi.org/10.1112/blms/bdp077 0024-6093 10.1112/blms/bdp077 https://hdl.handle.net/20.500.14352/42289 https://doi.org/10.1112/blms/bdp077 http://www.cambridge.org/ http://blms.oxfordjournals.org/content/41/6/993.full.pdf+html For an infinite-dimensional Riemannian manifold M we denote by C1b(M) the space of all real bounded functions of class C(1) on M with bounded derivative. In this paper we shall see how the natural structure of normed algebra on C1b(M) characterizes the Riemannian structure of M, for the special case of the so-called uniformly bumpable manifolds. For that we need, among other things, to extend the classical Myers-Steenrod theorem on the equivalence between metric and Riemannian isometries, to the setting of infinite-dimensional Riemannian manifolds. eng restricted access Algebras of differentiable functions on Riemannian manifolds journal article