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Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz–Minkowski space
[Convexité des projections de sous-variétés de co-dimension 2 dans l’espace de Lorentz–Minkowski]
Toshizumi Fukui1 ; Atsufumi Honda2 ; Masaaki Umehara3
1 Department of Mathematics, Saitama University, Saitama 338-8570, Japan
2 Department of Applied Mathematics, Yokohama National University, Yokohama 240-8501, Japan
3 Department of Mathematical and Computing Sciences, Institute of Science Tokyo, Tokyo 152-8552, Japan
Comptes Rendus. Mathématique, Volume 363 (2025), pp. 109-113.

Dans cet article, nous donnons une condition nécessaire et suffisante pour que toute projection d’une sous-variété de co-dimension 2 dans l’espace de Lorentz–Minkowski soit localement strictement convexe, et nous donnons ses applications.

In this paper, we give a necessary and sufficient condition that any space-like projection of a submanifold with co-dimension 2 in Lorentz–Minkowski space is locally strictly convex, and give its applications.

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DOI : 10.5802/crmath.704

Toshizumi Fukui 1 ; Atsufumi Honda 2 ; Masaaki Umehara 3

1 Department of Mathematics, Saitama University, Saitama 338-8570, Japan
2 Department of Applied Mathematics, Yokohama National University, Yokohama 240-8501, Japan
3 Department of Mathematical and Computing Sciences, Institute of Science Tokyo, Tokyo 152-8552, Japan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Toshizumi Fukui and Atsufumi Honda and Masaaki Umehara},
     title = {Convexity of space-like projections of submanifolds with co-dimension~2 in {Lorentz{\textendash}Minkowski} space},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {109--113},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {363},
     year = {2025},
     doi = {10.5802/crmath.704},
     language = {en},
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Toshizumi Fukui; Atsufumi Honda; Masaaki Umehara. Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz–Minkowski space. Comptes Rendus. Mathématique, Volume 363 (2025), pp. 109-113. doi : 10.5802/crmath.704. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.704/

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