Entire bounded constant mean curvature Killing graphs
M. Dajczer, J. H. de Lira
TL;DR
This paper proves that under specific curvature conditions, entire constant mean curvature Killing graphs confined within a slab are necessarily totally geodesic slices, revealing geometric rigidity in such structures.
Contribution
It establishes a rigidity result for entire Killing graphs with constant mean curvature under curvature constraints, showing they must be totally geodesic slices.
Findings
Entire Killing graphs with constant mean curvature are totally geodesic under certain conditions.
Curvature conditions of the ambient space enforce geometric rigidity.
The result applies to graphs lying inside a slab.
Abstract
We show that under certain curvature conditions of the ambient space an entire Killing graph of constant mean curvature lying inside a slab must be a totally geodesic slice.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research