A congruence theorem for compact embedded hypersurfaces in S+n+1$\mbox{${\mathbb {S}}$}^{n+1}_+$
Abstract We prove a codimension reduction and congruence theorem for compact ‐dimensional submanifolds of that admit a mean convex isometric embedding into using a Reilly‐type formula for space forms.
Authors
- Felippe Guimarães (ORCID: https://orcid.org/0000-0001-5860-0242)
- Allan Freitas (ORCID: https://orcid.org/0000-0002-3645-6451)
Institutions
- Universidade Federal da Paraíba (BR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-01-22
- DOI
- https://doi.org/10.1112/blms.70004
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Apoio à Pesquisa do Estado da Paraíba
- Ministério da Ciência, Tecnologia, Inovações e Comunicações