Ricci pinched compact submanifolds in spheres
Abstract We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector of the immersion. Just in special cases, the limited strength of the assumption allows some strong additional information on the extrinsic geometry of the submanifold.
Authors
- Marcos Dajczer (ORCID: https://orcid.org/0000-0003-2832-6849)
- Theodoros Vlachos (ORCID: https://orcid.org/0000-0002-5848-9203)
Institutions
- University of Ioannina (GR)
- Universidad de Murcia (ES)
Publication Details
- Journal
- Annals of Global Analysis and Geometry
- Published
- 2025-06-30
- DOI
- https://doi.org/10.1007/s10455-025-10007-2
- Citations
- 2
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 7.45
Funders
- Hellenic Academic Libraries Link
- Comunidad Autónoma de la Región de Murcia
- University of Ioannina
- European Regional Development Fund
- Agencia Estatal de Investigación