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Gunther Uhlmann’s latest work featured in Nature

Submitted by Rose Choi on February 23, 2017 - 3:48pm
Earth's inner structure
Earth's inner structure could be revealed by the speed at which waves travel from one edge to another. Planterary Visions Ltd./Science Photo Library

In collaboration with András Vasy at Stanford and Plamen Stefanov at Purdue, Gunther has solved the longstanding open problem of boundary rigidity in Riemannian geometry. They prove for Riemannian manifolds with boundary of dimension 3 or greater (under suitable hypotheses) that knowledge of the restriction to the boundary of the manifold’s distance function determines the distance function overall. Their result is featured in an article in Nature whose title suggests potential applications: Long-awaited mathematics proof could help scan Earth's innards.