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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

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Bilipschitz embeddings and immersions of metric spaces into Euclidean Space
by
Conrad Plaut
University of Tennessee, Knoxville
Coauthors: Urs Lang (ETH-Zurich)

The question of when a metric space admits a bilipschitz embedding into a Euclidean space is natural and has been studied by a number of mathematicians in recent years. We discuss a few necessary conditions and examples of non-embeddable metric spaces that show these conditions are not sufficient. We then describe new sufficient conditions and give methods for gluing local bilipschitz embeddings to produce bilipschitz immersions (i.e. immersions that are locally bilipschitz and globally lipschitz).

Date received: February 18, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-29.