Constant curvature hypersurfaces of cylinders over space forms
We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces R^k x S^{n-k+1} and R^k x H^{n-k+1}, for 2 <= k <= n-1. Our results provide a complete description of these hypersurfaces and extend previous classifications of constant curvature submanifolds in product spaces of space forms.
Authors
- Alipio Carvalho
- Ruy Tojeiro (ORCID: https://orcid.org/0000-0002-6418-8167)
Publication Details
- Journal
- Differential Geometry and its Applications
- Published
- 2026-07-23
- DOI
- https://doi.org/10.1016/j.difgeo.2026.102415
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico