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Homogeneous Metrics on Spheres

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James Munden, Saint Louis University

What
  • Topology Seminar
When Fri, Apr 26, 2013
from 11:00 AM to 11:50 AM
Where Ritter Hall 316
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Abstract: Spheres can be expressed as homogeneous spaces in numerous ways.  In this talk, we will give a method of constructing homogenous metrics on the spheres.  We will show that different descriptions of the spheres as homogeneous spaces give rise to different families of homogeneous metrics, and naturally, different geometries.  We will investigate which homogeneous metrics correspond to the metric of constant sectional curvature on the sphere.

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