Banca de DEFESA: GABRIELLA CONCEIÇÃO E SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : GABRIELLA CONCEIÇÃO E SILVA
DATE: 21/11/2023
TIME: 09:00
LOCAL: Sala 20
TITLE:

The Slice theorem

KEY WORDS:

Lie Group, proper action and Slice.

PAGES: 53
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Geometria Diferencial
SUMMARY:

Our goal in this work is to study the classic and celebrated Slice Theorem. Initially proven by Koszul, the Slice Theorem states that given a proper action of a Lie group on a manifold, there exists a slice passing through each point in M , i.e., a submanifold transversal to the orbit passing through the given point with some special properties. This theorem is a fundamental tool in the Theory of Transformation Groups. This result allows us to reduce the study of a Lie group action near an orbit to the study of the
geometry transversal to the orbit.

COMMITTEE MEMBERS:
Presidente - 1061349 - BENIGNO OLIVEIRA ALVES
Interno - 1675542 - ANDRE LUIS GODINHO MANDOLESI
Externa ao Programa - ***.058.756-** - PATRÍCIA MARÇAL - USP