Banca de DEFESA: VANESSA LUCIA DA SILVA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : VANESSA LUCIA DA SILVA
DATE: 26/07/2023
TIME: 10:00
LOCAL: Sala da Pós-Graduação do Instituto de Matemática da UFAL
TITLE:

Classification of Ruled Surfaces as Self-Similar Solutions of the Inverse Mean Curvature Flow in Three-Dimensional Lorentz-Minkowski Space

KEY WORDS:

Lorentz-Minkowski space; ruled surfaces; mean curvature; inverse mean curvature flow; translating solitons; homothetic solutions.

PAGES: 59
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Geometria Diferencial
SUMMARY:

In this thesis, we classify non-degenerate ruled surfaces in the three-dimensional Lorentz-Minkowski space that are translating solitons for inverse mean curvature flow (IMCF). In particular, we prove the existence of translation of non-cylindrical solitons, which contrast with the Euclidean scenario. In this same semi-Riemannian environment, we also classify all ruled surfaces that are homothetic solutions for the IMCF.

BANKING MEMBERS:
Presidente - 2720885 - GREGÓRIO MANOEL DA SILVA NETO
Interno(a) - 1119872 - HILARIO ALENCAR DA SILVA
Interno(a) - 2474631 - MARCIO HENRIQUE BATISTA DA SILVA
Externo(a) à Instituição - GREGORIO PACELLI FEITOSA BESSA - UFC
Externo(a) à Instituição - MARCIO SILVA SANTOS - UFPB