Banca de DEFESA: GLAENE SANTOS SANTIAGO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : GLAENE SANTOS SANTIAGO
DATA : 14/06/2019
HORA: 15:00
LOCAL: Sala 12 do Instituto de Matemática e Estatística
TÍTULO:

Isometries of comlplex hyperbolic plane

PALAVRAS-CHAVES:

Complex Hyperbolic Plane, Isometries of complex Hyperbolic plane .

PÁGINAS: 72
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Geometria e Topologia
ESPECIALIDADE: Geometria Diferencial
RESUMO:

The main goal of this work is to classify the isometries of complex hyperbolic
plane
H^2_C
by studying their fixed points. To this end, we introduce H ^2_C as an open set of
complex projective plane. We study the disc model, the Siegel domain, and horospherical
coordinates to understand its distance function, the Bergman metric, its isometry group
P U (2, 1), and its totally geodesic submanifolds. The elements of PU (2, 1) will be seen as
collineations induced by matrices of SU (2, 1), so the classification will be done through
the study of the eigenvalues of such matrices.

MEMBROS DA BANCA:
Presidente - 2196904 - JAIME LEONARDO ORJUELA CHAMORRO
Interno - 1858330 - DIEGO CATALANO FERRAIOLI
Externo à Instituição - NIKOLAI ALEXANDROVITCH GOUSSEVSKII - UFMG