Completeness of convex entire surfaces in Minkowski 3-space
We prove four results towards a description, in terms of the null support function, of the set of isometric embeddings of the hyperbolic plane into Minkowski 3-space. We show that for sufficiently tame null support function, the corresponding entire surface of constant curvature −1 is complete, and for sufficiently sharp null support function, it is incomplete. Our results apply also to entire surfaces whose curvature is merely bounded.
Authors
- Peter Smillie (ORCID: https://orcid.org/0000-0001-7316-897X)
- Andrea Seppi (ORCID: https://orcid.org/0000-0002-4750-9184)
- Francesco Bonsante (ORCID: https://orcid.org/0000-0003-2900-4614)
Institutions
- University of Pavia (IT)
- Max Planck Institute for Mathematics in the Sciences (DE)
- Max Planck Institute for Mathematics (DE)
- University of Turin (IT)
Publication Details
- Journal
- Journal of Differential Geometry
- Published
- 2026-05-13
- DOI
- https://doi.org/10.4310/jdg/1778687286
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00