Paper · Apr 9, 2024
On the second boundary value problem for mean curvature flow in Minkowski space
As on arXiv
Abstract
This is a sequel to [2] and [3], which study the second boundary value problems for mean curvature flow. Consequently, we construct the translating solitons with prescribed Gauss image in Minkowski space.
Comments: 28pages. arXiv admin note: text overlap with arXiv:2003.04731, arXiv:2104.00372
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
-
Second boundary value problem for the Hessian curvature flow
Topics Self-shrinkers & translators · Same author Rongli Huang · Shared terms “boundary value”, “Gauss”
-
Entire curvature flow in Minkowski space
Topics Self-shrinkers & translators · Shared terms “Minkowski space”
-
Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space
Topics Self-shrinkers & translators · Shared terms “Minkowski space”, “translating solitons”
-
Invariant -translators in Lorentz-Minkowski space
Topics Self-shrinkers & translators · Shared terms “Minkowski space”, “translating solitons”
-
Inverse Hessian Curvature Flow in Minkowski Space II: The Dirichlet problem at infinity
Topics Self-shrinkers & translators · Shared terms “Minkowski space”, “boundary value”
-
Entire self-expanders for power of curvature flow in Minkowski space
Topics Self-shrinkers & translators · Shared terms “Minkowski space”
-
Translating solutions and the entire Hessian curvature flow in Minkowski space
Topics Self-shrinkers & translators · Shared terms “Minkowski space”
-
Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space II
Topics Self-shrinkers & translators · Same author Rongli Huang
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 6A.10Curve Shortening and the First Geometric Flows
Shrinking circles, grim reapers, neckpinches and Huisken’s monotonicity, seen in the plane.