Normal Congruences and Lagrangian submanifolds in spaces of geodesics
![]() | |
Author(s): |
Jaime Leonardo Orjuela Chamorro
Total Authors: 1
|
Document type: | Doctoral Thesis |
Press: | São Paulo. |
Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
Defense date: | 2012-07-02 |
Examining board members: |
Claudio Gorodski;
Ruy Tojeiro de Figueiredo Junior;
Marcos Benevenuto Jardim;
Francesco Mercuri;
Marcos Martins Alexandrino da Silva
|
Advisor: | Claudio Gorodski |
Abstract | |
In the present work we construct new examples of complete minimal H-equivariant hypersurfaces of symmetric spaces G/K. For that, we use the equivariant differential geometry method (Hsiang-Lawson). We divide our research in two parts, namely, symmetric spaces of non-compact and compact type. In the first case we study polar actions of subgroups H adapted to the Iwasawa decomposition G=KAN. In the second case we use the classification (Podesta-Thobergsson) of the subgroups H of Spin(9) which act with cohomogeneity two on the octonionc projective plane F_4/Spin(9). (AU) | |
FAPESP's process: | 07/08513-6 - Closed minimal hypersurfaces in noncompact symmetric spaces |
Grantee: | Jaime Leonardo Orjuela Chamorro |
Support Opportunities: | Scholarships in Brazil - Doctorate |