Tyler Honeycutt

Bellingham Technical College and Western Washington University
, BH 401

Abstract

Manifolds and Their Tangent Vectors, and Can One Comb the Hair on a Ball in Rn?

This talk will discuss manifolds in Euclidean space, and what it means tohave a vector field on a manifold. Then, a clever construction of a mappinginRnobtained from vector fields on then1dimensional sphere will beused to discover those dimensions in which the hair on a ball can becombed flat.