Submanifolds of codimension two with constant Moebius curvature and flat normal bu...
Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
Geometric analysis and variational problems in Riemannian and Kähler geometry
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] IMPA, BR-22460320 Rio De Janeiro - Brazil
[2] Univ Fed Sao Carlos, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | PUBLICACIONS MATEMATIQUES; v. 58, n. 1, p. 179-191, 2014. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper, we analyze the geometric structure of a Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension. We prove that if the rate of change of the osculating spaces is small, then the submanifold must be a (submanifold of a) ruled submanifold of a very special type. We also give a sharp estimate of the dimension of the rulings. (AU) | |
| FAPESP's process: | 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |