Up: Student Seminars for 2014
Top: Math Department Student Seminars

The Best Metric on a Sphere

by

CHRISTINA TONNESEN-FRIEDMAN
UNION COLLEGE

May 6, 2014
5:00 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 4:45pm


Abstract:

We will take a closer look at the natural geometry of the sphere. Then we introduce an entire family of possible geometries (or “Riemannian metrics’’) on the sphere. Among these we seek the "best one" by formulating an appropriate version of Calabi’s Extremal Kaehler metrics. The answer will not really be a big surprise, but I hope that this simple example can illustrate a key question often asked in differential geometry. We will use the notion of arc length of parametrized curves as defined in MTH 115 (IMP) and we will use the idea of parametrized surfaces as introduced in MTH 117 (IMP). We also need to use the Chain Rule from MTH 115.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
Up: Student Seminars for 2014
Top: Math Department Student Seminars

[HOME]
Union College Math Department Home Page
Comments to: math@union.edu
Created automatically on: Fri Jul 20 16:21:41 EDT 2018