| Full text | |
| Author(s): |
de Carvalho, Alcides
;
Domingos, Iury
;
Santos, Roney
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 67, n. 2, p. 13-pg., 2025-03-01. |
| Abstract | |
We show that all non-developable ruled surfaces endowed with Ricci metrics in the three-dimensional Euclidean space may be constructed using curves of constant torsion and its binormal. This allows us to give characterizations of the helicoid as the only surface of this kind that admits a parametrization with plane line of striction, and as the only with constant mean curvature. (AU) | |
| FAPESP's process: | 23/14796-3 - Free Boundary Minimal Submanifolds in Euclidean Balls and Ricci Surfaces |
| Grantee: | Roney Pereira dos Santos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |