Codimension two spacelike submanifolds into null hypersurfaces of generalized Robertson–Walker spacetimes
Abstract We study codimension two spacelike submanifolds contained into a general class of null hypersurfaces in generalized Robertson–Walker spacetimes, refer to as nullcones. In particular we analyze light cones and lightlike cylinders in Lorentz–Minkowski spacetime, as well as nullcones in de Sitter spacetime. We give conditions on a radial coordinate that guarantee that such a spacelike submanifold is conformally diffeomorphic to the hyperbolic space, a round cylinder or a sphere; respectively. We also provide some non-existence results for weakly trapped submanifolds.
Authors
- Luis J. Alı́as (ORCID: https://orcid.org/0000-0002-8482-4888)
- Josué Meléndez (ORCID: https://orcid.org/0000-0002-3257-985X)
- Didier A. Solis (ORCID: https://orcid.org/0000-0001-5099-3088)
- Matías Navarro (ORCID: https://orcid.org/0000-0002-2340-7730)
Institutions
- Universidad Autónoma Metropolitana (MX)
- Autonomous University of Yucatán (MX)
- Universidad de Murcia (ES)
Publication Details
- Journal
- Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
- Published
- 2026-08-26
- DOI
- https://doi.org/10.1007/s13398-026-01916-3
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundación Séneca
- Universidad de Murcia
- Ministerio de Ciencia e Innovación
- Universidad Autónoma de Yucatán
- European Regional Development Fund
- Agencia Estatal de Investigación
- Universidad Autónoma Metropolitana unidad Iztapalapa