Einstein, Extremal, and Quasi-Einstein metrics on Spheres, Teardrops, and Footballs
May 30, 2011
Bailey Hall 207
Refreshments will be served in Bailey 204 at 4:15
This talk starts with a closer look at the unit sphere in 3 space. Using a very simple and somewhat familiar parametrization of this surface, we will interpret and subsequently distort the arc length to create new geometries on the spheres. We will allow for some relatively mild singularities and thus include geometries living naturally on surfaces resembling teardrops or footballs. This will give us enough "wiggle room" to be able to discuss some special geometries currently under much investigation in higher dimensions (but we will stick to surfaces). The talk is accessible to anyone with a background of math 115 and math 117 (or corresponding IMP courses).
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