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Boundary Rigidity in Riemannian Geometry

Student-Run Applied & Math Seminar

Speaker: Dale Trockel, UC Davis
Location: 2112 MSB
Start time: Wed, Oct 22 2008, 12:10PM

Early Geologists used data of the travel times of seismic waves from their origin to various points on the globe to determine information on the interior of the earth. The ability to determine the interior of an object based solely off of the information from the boundary distance function is known as boundary rigidity. In this talk I will give a short overview of topics in Riemannian Geometry relating to boundary rigidity. I will include topics such as:Tangent spaces, Connections, Geodesics, and Conformal metrics. Then I will apply these tools to prove a theorem by Croke showing boundary rigidity on a small class of manifolds.

Pizza and soda