| Full text | |
| Author(s): |
Grama, Lino
;
Martins, Ricardo M.
;
Patrao, Mauro
;
Seco, Lucas
;
Speranca, Llohann
Total Authors: 5
|
| Document type: | Journal article |
| Source: | MONATSHEFTE FUR MATHEMATIK; v. 199, n. 3, p. 28-pg., 2022-09-10. |
| Abstract | |
The Ricci flow was introduced by Hamilton and gained its importance through the years. Of special importance is the limiting behavior of the flow and its symmetry properties. Taking this into account, here we present a characterization for Gromov-Hausdorff limits of homogeneous spaces. In addition, we present a novel normalization for the homogeneous Ricci flow with natural compactness properties. As an application, we present a detailed picture of the homogeneous Ricci flow for three-isotropy-summands flag manifolds: phase portraits, basins of attractions, conjugation classes and collapsing phenomena. Moreover, we achieve a full classification of the possible Gromov-Hausdorff limits of the aforementioned lines of flow. (AU) | |
| FAPESP's process: | 18/03338-6 - Global dynamics of piecewise smooth dynamical systems |
| Grantee: | Ricardo Miranda Martins |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 21/08031-9 - Piecewise smooth vector fields on compact manifolds |
| Grantee: | Ricardo Miranda Martins |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |