The Weyl principle in pseudo-riemannian geometry

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.

differential geometry

Audience: researchers in the topic

Comments: https://sissa-it.zoom.us/j/94656897571

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SISSA Mathematical Glimpses

Series comments: Description: Online colloquia

The list of seminars in this series, together with their Zoom links, is available at:

docs.google.com/spreadsheets/d/1IoYznrVQR-rrjvrjtJkl5catZZqIFV6Zo9_BdlxZSiw/edit#gid=0

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