Translating solitons in Euclidean space

Authors

Ling Xiao, University of Connecticut

Document Type

Presentation Abstract

Presentation Date

3-8-2021

Abstract

In this talk, I will present the following results. First, we prove any complete immersed two-sided mean convex translating soliton in R³ for the mean curvature flow is convex. As a corollary it follows that an entire mean convex graphical translating soliton in R³ is the axisymmetric “bowl soliton”. Moreover, if the mean curvature of the translating soliton tends to zero at infinity, then this translating soliton can be represented as an entire graph and so it is the “bowl soliton”. Finally, we classify all locally strictly convex graphical translating solitons defined over strip regions. This is a joint work with Joel Spruck.

Additional Details

March 8, 2021 at 3:00 p.m. via Zoom

Recommended Citation

Xiao, Ling, "Translating solitons in Euclidean space" (2021). Colloquia of the Department of Mathematical Sciences. 612.
https://scholarworks.umt.edu/mathcolloquia/612