Kolloquium des Graduiertenkollegs Gruppen und Geometrie

Donnerstag, 12.07.2007


Prof. Themistokles Rassias

"On the A.D. Aleksandrov problem for isometric mappings"


Abstract:

The classical problem of A.D.Aleksandrov for mappings which preserve one distance will be discussed. Generalizations of the problem for more than one conservative distances will be formulated and studied. The interaction of the Mazur-Ulam Theorem with the Aleksandrov problem will be treated. A number of new and old problems and conjectures as well as some counterexamples will be provided.