Contractions and isometries
Vortrag von Prof. Dr. Bernd Kirchheim
Sprecher eingeladen von: Prof. Dr. Camillo De Lellis
Datum: 23.09.13 Zeit: 17.15 - 19.00 Raum: Y27H12
We discuss the class of strongly isometric maps, i.e. maps who preserve the length of every curve, rectifiable or not. It is shown, that these maps are prevalent (in the topological sense) in the class of all contractions on Euclidean space. When considering a similar result on subsets of such spaces, the openness of the restriction operator with respect to the supremum norm becomes crucial - several positive but also negative results concerning this question will be presented.