# Geometry Seminar

## Complete translating solitons to the mean curvature flow in R^3 with nonnegative mean curvature

Joel Spruck, JHU

Monday, March 20th, 2017
12:00 PM - 1:00 PM
Hylan 1106A

We prove that any complete immersed two sided mean convex translating soliton Sigma in R^3 for the mean curvature flow is convex. As a corollary it follows that any entire mean convex graphical translating soliton in R^3 is the axisymmetric “bowl soliton’’. We also show that if the mean curvature of Sigma tends to zero at infinity, then Sigma can be represented as an entire graph and so is the bowl soliton . Finally we classify all translating solitons defined over strip regions which are the only other nontrivial solutions

Event contact: skleene at ur dot rochester dot edu