| Full text | |
| Author(s): |
Chion, Sergio
;
Tojeiro, Ruy
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 51, n. 3, p. 54-pg., 2019-10-31. |
| Abstract | |
In this paper we classify Euclidean hypersurfaces f : M-n -> Rn+1 with a principal curvature of multiplicity n - 2 that admit a genuine conformal deformation (f) over tilde: M-n -> Rn+2. That (f) over tilde: M-n -> Rn+2 is a genuine conformal deformation of f means that it is a conformal immersion for which there exists no open subset U subset of M-n such that the restriction (f) over tilde vertical bar(U) is a composition (f) over tilde vertical bar(U) = h omicron f vertical bar U of f vertical bar U with a conformal immersion h: V -> Rn+2 of an open subset V subset of Rn+1 containing f (U). (AU) | |
| FAPESP's process: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |