Geometry working seminarExport this event to calendar

Tuesday, October 7, 2014 — 1:00 PM EDT

Jon Herman, Pure Mathematics Department, University of Waterloo

“Gauss’s Theorema Egregium”

This talk will be concerned with hypersurfaces in Euclidean space. The second fundamental form allows us to define a selfadjoint endomorphism on each tangent space, called the shape operator. From the shape operator we define the principal, Gaussian and mean curvatures. After introducing these notions I will give a proof of Gauss’s Theorema Egregium which asserts that the Gaussian curvature of a hypersurface in R3 is invariant under isometries.

 
Location 
MC - Mathematics & Computer Building
4062
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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