Banca de DEFESA: Paulo Victor Reis Moreira

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Paulo Victor Reis Moreira
DATE: 25/07/2023
TIME: 10:30
LOCAL: a definir
TITLE:

Linear Weingarten surfaces foliated by circles in Minkowski space

KEY WORDS:

Minkowski space, Weingarten equation, foliation planes, differential geometry.

PAGES: 102
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work, we study spacelike surfaces in Minkowski space $\mathbb{E}^3_1$ and that satisfying the Weingarten linear equation of the type $aH+bK=c$, where $a,b$ and $c$ are constants and $H$ e $K$ denotes, respectively, the mean curvature and $K$ the Gaussian curvature of the surface. We show that if these surfaces are foliated by circles in parallel planes and ($H\neq0$ and $K\neq0$), then these surfaces must be surfaces of revolution. Furthermore, we show that if a spacelike surface satisfies the Weingarten linear equation and is foliated by circles in planes that are not parallel, then this surface is pseudohyperbolic.

COMMITTEE MEMBERS:
Externa à Instituição - JULIANA FERREIRA RIBEIRO DE MIRANDA - UFAM
Interno - 1984498 - JOAO PAULO DOS SANTOS
Presidente - 1286940 - LUCIANA MARIA DIAS DE AVILA RODRIGUES
Interno - 3101411 - TARCISIO CASTRO SILVA