Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Four vertex theorems in Riemannian surfaces
Submitted by jlongwor on Tue, 03/03/2009 - 10:51am.
Mar 6 2009 - 12:00pm
Mar 6 2009 - 12:50pm
Speaker:
Mohammad Ghomi, School of Math, Georgia Institute of Technology, Atlanta
Location:
MS 431The classical four vertex theorem states that any simple closed curve in the plane has at least four local extrema of curvature. In this talk we discuss analogues of this result for surfaces with boundary and compete Riemannian surfaces. In particular we show how the four vertex property of curves may be used to characterize disks, spheres, and simply connected space forms.