| Title: | When Does Inversion Preserve Convexity? |
| Speaker: | David E. Blair Professor Emeritus Department of Mathematics Michigan State University |
| Abstract: | Given a smooth closed convex curve in the plane, what is the setof points in the plane as centers of inversion for which the image of thegiven curve will again be a convex curve? This question has an attractive answer. After reviewing the geometry of curve theory and of inversion theory (reflection in circles), we will give a proof of the answer. If time permits, we will discuss the corresponding question for convex bodies in 3-space. |
| Location: | Palenske 227 |
| Date: | 11/16/2006 |
| Time: | 3:10 PM |
@abstract{MCS:Colloquium:DavidEBlair
ProfessorEmeritus
DepartmentofMathematics
MichiganStateUniversity:2006:11:16,
author = "{David E. Blair
Professor Emeritus
Department of Mathematics
Michigan State University}",
title = "{When Does Inversion Preserve Convexity?}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{16 November}",
year = "{2006}"
}