Geodesic
Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces
Thomas Foertsch1
1 Institut für Mathematik Universität Bonn Beringstr. 1 53115 Bonn, Germany
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 71-84

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm103-1-9
Keywords: consider hausdorff metric space compact convex subsets proper geodesically complete metric space globally non positive busemann curvature which geodesics split characterize their surjective isometries moreover analogous characterization surjective isometries space compact subsets proper uniquely geodesic geodesically complete metric space which geodesics split given

Thomas Foertsch 1

1 Institut für Mathematik Universität Bonn Beringstr. 1 53115 Bonn, Germany 
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Thomas Foertsch. Isometries of spaces of convex compact subsets
 of globally non-positively Busemann curved spaces. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 71-84. doi: 10.4064/cm103-1-9

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