Banca de DEFESA: RODRIGO COSTA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : RODRIGO COSTA
DATE: 24/03/2022
TIME: 10:00
LOCAL: Instituto de Matemática - Ufal
TITLE:

Classification of umbilical submanifolds of Sn x R

KEY WORDS:

Umbilical submanifolds; Substantial codimension; Classification; Product space

PAGES: 96
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Geometria Diferencial
SUMMARY:

In this work, we present a classification of the arbitrary dimension and codimension umbilic submanifolds of Sn × R, based on the work of Bruno Mendonça and Ruy Tojeiro (2013). The classification that will be presented extends the classification of umbilical surfaces in S2 × R by Souam and Toubiana (2009), as well as the local description of umbilical hypersurfaces in Sn × R by Van der Veken and Vrancken (2008), to a codimension greater than one. In both works, the umbilical surfaces and the umbilical hypersurfaces are rotational. It will be shown that the submanifolds studied in this work are also rotational and we will present explicit parameterizations.

BANKING MEMBERS:
Presidente - 2972316 - CARLOS GONCALVES DO REI FILHO
Interno - 1165266 - FELICIANO MARCILIO AGUIAR VITORIO
Externo à Instituição - SAMUEL DA CRUZ CANEVARI - UFS