REVIEW 2 cited by
A new family of translating solitons in hyperbolic space
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
If $\xi$ is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $\Sigma\subset\h^3$ is a $\xi$-translator if its mean curvature $H$ satisfies $H=\langle N,\xi\rangle$, where $N$ is the unit normal of $\Sigma$. We classify all $\xi$-translators invariant by a one-parameter group of rotations of $\h^3$, exhibiting the existence of a new family of grim reapers. We use these grim reapers to prove the non-existence of closed $\xi$-translators.
Forward citations
Cited by 2 Pith papers
-
On the geometry of the asymptotic boundary of translators in $\mathbb H^2\times \mathbb R$
Complete properly immersed translators in H2 × R have asymptotic boundary components that are vertical lines, vertical rays, or complete geodesics.
-
The mean curvature flow of subgroups on Lie groups of dimension three
Every two-dimensional subgroup of a non-unimodular three-dimensional Lie group with the chosen left-invariant metric has an explicit eternal mean curvature flow, translating for abelian subgroups and non-self-similar ...
Discussion (0). Continue with ORCID to comment.