Qualitative properties for fourth order PDEs arising in differential geometry
Invariant Sets in differential Dynamical Systems: Periodic orbits, Invariant Tori ...
SNENS III - Numerical Solution of Navier-Stokes Equations: Three-dimensional Flows
| Grant number: | 14/01989-9 |
| Support Opportunities: | Scholarships abroad - Research |
| Start date: | December 08, 2014 |
| End date: | December 07, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Fernando Manfio |
| Grantee: | Fernando Manfio |
| Host Investigator: | Benoit Laurent Francois Daniel |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Institution abroad: | Université de Lorraine (UL), France |
| Associated research grant: | 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM |
Abstract The study of geometrical properties of surfaces in homogeneous 3-manifolds is a topic that has received the attention of many geometers in recent years, focusing mainly in surfaces for which some condition in its second fundamental form is required. Recent contributions of authors, which yielded existence results of umbilical surfaces for more general spaces, have paved the way for generalizations of these surfaces in all homogeneous 3-manifolds. Our aim in this project is to determine and study explicit examples of Willmore surfaces, given as solutions of an existence theorem obtained recently by A. Carlotto and A. Mondino. Furthermore, we will investigate the existence of Bryant-like differential for such surfaces. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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