Albion College Mathematics and Computer Science Colloquium

 Title: When Does Inversion Preserve Convexity? Speaker: David E. BlairProfessor EmeritusDepartment of MathematicsMichigan 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:DavidEBlairProfessorEmeritusDepartmentofMathematicsMichiganStateUniversity:2006:11:16,
author  = "{David E. BlairProfessor EmeritusDepartment of MathematicsMichigan State University}",
title   = "{When Does Inversion Preserve Convexity?}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{16 November}",
year    = "{2006}"
}