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Submanifolds with constant Moebius curvature and flat normal bundle

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Author(s):
Mateus da Silva Rodrigues Antas
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Ruy Tojeiro de Figueiredo Junior; Martha Patrícia Dussan Angulo; José Nazareno Vieira Gomes; Fernando Manfio
Advisor: Ruy Tojeiro de Figueiredo Junior
Abstract

In this thesis, we classify submanifolds f : Mn R n+p , n 5 and p = 2 or n 6 and 2p n, with constant Moebius curvature and flat normal bundle. We also classify the class of conformally flat submanifolds f : Mn R n+p , n3 p 1, which are Moebius isoparametric. (AU)

FAPESP's process: 19/04027-7 - Submanifolds of codimension two with constant Moebius curvature and flat normal bundle
Grantee:Mateus da Silva Rodrigues Antas
Support Opportunities: Scholarships in Brazil - Doctorate