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}" }