| Full text | |
| Author(s): |
Manfio, F.
;
dos Santos, J. B. M.
;
dos Santos, J. P.
;
Van der Veken, J.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 213, p. 9-pg., 2025-04-10. |
| Abstract | |
We classify the hypersurfaces of Q3s x R with three distinct constant principal curvatures, where s is an element of {1, -1} and Q3s denotes the unit sphere S3 if s = 1, whereas it denotes the hyperbolic space H3 if s = -1. We show that they are cylinders over isoparametric surfaces in Q3s, filling an intriguing gap in the existing literature. We also prove that the hypersurfaces with constant principal curvatures of Q3s x Rare isoparametric. Furthermore, we provide the complete classification of the extrinsically homogeneous hypersurfaces in Q3sxR. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 22/16097-2 - Modern methods in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |