Add to ORKGWe study the properly discontinuous and isometric actions on the unit sphere of infinite dimensional Hilbert spaces and we get some new examples of Hilbert manifold with constant positive sectional curvature.We prove some necessary conditions for a group to act isometrically and properly discontinuously, and in the case of finitely generated Abelian groups the necessary and sufficient conditions are given
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
Bazaikin spaces are among the few known examples of Riemannian manifolds with positive sectional cur...
n this article we study properly discontinuous actions on Hilbert manifolds giving new examples of c...
In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of ...
In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of ...
The theory of discrete groups acting on finite dimensional Euclidean open balls by hyperbolic isomet...
ports A578 (2009). Abstract: In this paper Hilbert spaces are characterized among Banach spaces in t...
13 pagesWe investiguate a property of affine isometric actions on Hilbert spaces called evanescence....
AbstractWe detect Hilbert manifolds among isometrically homogeneous metric spaces and apply the obta...
AbstractWe give a Riemannian structure to the set Σ of positive invertible unitized Hilbert–Schmidt ...
This thesis is intended to be a fairly complete account of the spherical space form problem - both i...
We show that every non-precompact topological group admits a fixed point-free continuous action by a...
We give a Riemannian structure to the set Σ of positive invertible unitized Hilbert-Schmidt opera-to...
A crystallographic group is a group that acts faithfully, isometricallyand properly discontinuously ...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
Bazaikin spaces are among the few known examples of Riemannian manifolds with positive sectional cur...
n this article we study properly discontinuous actions on Hilbert manifolds giving new examples of c...
In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of ...
In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of ...
The theory of discrete groups acting on finite dimensional Euclidean open balls by hyperbolic isomet...
ports A578 (2009). Abstract: In this paper Hilbert spaces are characterized among Banach spaces in t...
13 pagesWe investiguate a property of affine isometric actions on Hilbert spaces called evanescence....
AbstractWe detect Hilbert manifolds among isometrically homogeneous metric spaces and apply the obta...
AbstractWe give a Riemannian structure to the set Σ of positive invertible unitized Hilbert–Schmidt ...
This thesis is intended to be a fairly complete account of the spherical space form problem - both i...
We show that every non-precompact topological group admits a fixed point-free continuous action by a...
We give a Riemannian structure to the set Σ of positive invertible unitized Hilbert-Schmidt opera-to...
A crystallographic group is a group that acts faithfully, isometricallyand properly discontinuously ...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractWe construct various isometry groups of the Urysohn space (the unique complete separable met...
Bazaikin spaces are among the few known examples of Riemannian manifolds with positive sectional cur...