Banca de DEFESA: Júlio Christian Barbosa Carneiro

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Júlio Christian Barbosa Carneiro
DATE: 23/08/2023
TIME: 14:00
LOCAL: PPGMAT
TITLE:

Ribaucour Transformations for flat surfaces in the hyperbolic space H^3

KEY WORDS:

Ribaucour transformations; flat surfaces; hyperbolic space

PAGES: 90
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

Based on the work of Armando V. Corro, Antonio Martínez, and Keti Tenenblat, in this dissertation,
we will apply Ribaucour transformations to rotational flat surfaces in the three-dimensional hyperbolic space, H^3,
providing new explicit families of flat surfaces in H^3 that are determined by various parameters. By choosing certain
parameters in a special way, it is possible to obtain surfaces that exhibit periodicity with respect to one variable and
also surfaces that have an arbitrary even number of embedded ends of horosphere type, or even an infinite number
of such ends.

COMMITTEE MEMBERS:
Externo à Instituição - DIEGO CATALANO FERRAIOLI - UFBA
Interna - 1286940 - LUCIANA MARIA DIAS DE AVILA RODRIGUES
Interno - 3193644 - PEDRO ROITMAN
Presidente - 3101411 - TARCISIO CASTRO SILVA