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

Thomas Foertsch. "Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces." Colloquium Mathematicae 103.1 (2005): 71-84. <http://eudml.org/doc/283605>.

@article{ThomasFoertsch2005,
abstract = {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.},
author = {Thomas Foertsch},
journal = {Colloquium Mathematicae},
keywords = {isometries; CAT(0)-spaces; non-positive Busemann curvature; Hausdorff distance; Hausdorff metric; geodesics; metric space},
language = {eng},
number = {1},
pages = {71-84},
title = {Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces},
url = {http://eudml.org/doc/283605},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Thomas Foertsch
TI - Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 71
EP - 84
AB - 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.
LA - eng
KW - isometries; CAT(0)-spaces; non-positive Busemann curvature; Hausdorff distance; Hausdorff metric; geodesics; metric space
UR - http://eudml.org/doc/283605
ER -