Geometry working seminarExport this event to calendar

Tuesday, September 30, 2014 — 1:00 PM EDT

Jon Herman, Pure Mathematics Department, University of Waterloo

“The second fundamental form”

When an immersed submanifold of a Riemannian manifold is endowed with the induced metric it is called a Riemannian submanifold. The second fundamental form gives a way to compare the structure of a Riemannian manifold to a Riemannian submanifold. After introducing the second fundamental form, I will show how it gives a relationship between the Riemannian connections (via the Gauss formula), curvatures (via the Gauss equation) and geodesic curvatures (via the Gauss formula along a curve) of a Riemannian manifold and its Riemannian submanifolds.

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

Waterloo, ON N2L 3G1
Canada

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