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Complete minimal hipersurfaces in symmetric spaces

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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:
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 type: Scholarships in Brazil - Doctorate