Ricci pinched compact hypersurfaces in spheres
Abstract We investigate the topology of the compact hypersurfaces in round spheres focusing on those with the Ricci curvature satisfying an appropriate bound determined solely by the mean curvature of the submanifold. In this paper, the application of the Bochner technique yields more robust results compared to those presented in [2] for submanifolds that lay in any codimension.
Authors
- Marcos Dajczer (ORCID: https://orcid.org/0000-0003-2832-6849)
- M. I. Jimenez (ORCID: https://orcid.org/0000-0001-7967-1058)
- Theodoros Vlachos (ORCID: https://orcid.org/0000-0002-5848-9203)
Institutions
- Universidade de São Paulo (BR)
- University of Ioannina (GR)
- Brazilian Society of Computational and Applied Mathematics (BR)
- Universidad de Murcia (ES)
Publication Details
- Journal
- manuscripta mathematica
- Published
- 2025-07-16
- DOI
- https://doi.org/10.1007/s00229-025-01651-w
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 3.73