Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz–Minkowski space
In this paper, we give a necessary and sufficient condition that any space-like projection of a submanifold with co-dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>2</mml:mn> </mml:math> in Lorentz–Minkowski space is locally strictly convex, and give its applications.
Authors
- Masaaki Umehara (ORCID: https://orcid.org/0000-0002-1067-9286)
- Atsufumi Honda (ORCID: https://orcid.org/0000-0003-0515-2866)
- Toshizumi Fukui
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2025-03-06
- DOI
- https://doi.org/10.5802/crmath.704
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 3.73