Intrinsic volumes of submanifolds of normed spaces: How intrinsic are they?

Dmitry Faifman (Tel-Aviv Universty)

28-Jul-2020, 14:00-15:00 (4 years ago)

Abstract: The intrinsic volumes, or quermassintegrals, are certain geometric functionals on sufficiently nice subsets of Euclidean space, given by the coefficients of the volume of an epsilon-tube of the set, which is a polynomial in epsilon. H. Weyl discovered that their value on a Riemannian submanifold of Euclidean space is, remarkably, an intrinsic invariant of the metric. We will consider the setting of a normed space, where the Holmes-Thompson intrinsic volumes are available, and attempt to extend Weyl's result to Finsler submanifolds. Based on a joint work with T. Wannerer.

differential geometry

Audience: researchers in the topic


Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home

Organizers: Sébastien Alvarez, François Fillastre*, Andrea Seppi, Graham Smith
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