Some normal form theorems in differential geometry
Speaker: Eckhard Meinrenken, University of Toronto
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.
Room Reservation Information
Room Number: 320 Whitmore
Time: 2:30pm - 3:30pm