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The Weyl principle in pseudo-riemannian geometry

Andreas Bernig
Institution: 
Frankfurt
Schedule: 
Wednesday, May 20, 2020 - 16:00
Location: 
Online
Location: 
Zoom (sign in to get the link)
Abstract: 

The classical Weyl principle states that the coefficients of the volume of a tube around a compact submanifold in euclidean space are invariants of the intrinsic metric. Using the language of valuations and curvature measures on manifolds, they give rise to the intrinsic volumes and Lipschitz-Killing curvature measures. In a recent joint work with D.Faifman (Montreal) and G. Solanes (Barcelona) we extend the theory to pseudo-riemannian manifolds and more generally to signature changing metrics, where we prove a generalization of the Weyl principle.

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