RT Journal Article
T1 Algebras of differentiable functions on Riemannian manifolds
A1 Garrido Carballo, María Isabel
A1 Jaramillo Aguado, Jesús Ángel
A1 Rangel, Yenny C.
AB 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.
PB Oxford University Press
SN 0024-6093
YR 2009
FD 2009-12
LK https://hdl.handle.net/20.500.14352/42289
UL https://hdl.handle.net/20.500.14352/42289
LA eng
NO 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
DS Docta Complutense
RD 4 may 2026