Maps between spheres of minimal stretch
by
Peter Storm
University of Pennsylvania
Coauthors: Herman Gluck

Given a homotopy class of maps between spheres, curiosity leads some to wonder about the existence of a map with minimal Lipschitz constant, i.e. minimal stretch. I'll present a couple results in this relatively uncharted topic focusing on Hopf maps. The talk will require very little technology, and will sadly have nothing to do with groups. However, I think the proofs are fun.

Date received: January 30, 2008

Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cawj-13.