Kolloquium des Graduiertenkollegs Gruppen
Prof. Themistokles Rassias
"On the A.D. Aleksandrov problem for isometric mappings"
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.