Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces

• Autorzy: Thomas Foertsch
• Języki publikacji: EN

Abstrakty

EN

We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.

Kategorie tematyczne

• 53C70: Direct methods ( G -spaces of Busemann, etc.)
• 51F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 1
• Strony: 71-84

Daty

wydano

2005

Twórcy

autor

Thomas Foertsch

• Institut für Mathematik, Universität Bonn, Beringstr. 1, 53115 Bonn, Germany

Identyfikatory

DOI

10.4064/cm103-1-9