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Mathematics Colloquium

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Date:  Friday, February 02, 2018

Title:  Some normal form theorems in differential geometry

Abstract:  A vector field is "Euler-like" with respect to a submanifold if its linear approximation is the Euler vector field on the normal bundle. We show that such a vector field canonically determines a tubular neighborhood embedding, and use this fact to discuss various normal form theorems in differential geometry. Examples range from Morse's lemma to various splitting theorems for singular foliations.


Speaker:  Eckhard Meinrenken
Institution:  University of Toronto

 

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