PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact John Roe, Dmitri Burago.

Title:The Crofton Fomula and Corollaries
Seminar:Geometry Luncheon Seminar
Speaker:Kurt Vinhage, PSU
Abstract:
Crofton's For­mu­la ex­press­ing the length of a curve as an in­te­gral over the space of ori­ent­ed lines has an el­e­men­tary proof, with some corol­lar­ies that would oth­er­wise be very dif­fi­cult to prove. These range from the mo­not­o­nic­i­ty of the length of con­vex closed curves to the so­lu­tion of Hilbert's Fourth Prob­lem on the plane. In this talk, we will re­view the Crofton For­mu­la on the plane and sphere and dis­cuss some im­me­di­ate con­se­quences and generalizations.

Room Reservation Information

Room Number:MB114
Date:03 / 16 / 2011
Time:12:20pm - 01:30pm