Banca de DEFESA: ANA CAROLINA DE CARVALHO MANCUR

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : ANA CAROLINA DE CARVALHO MANCUR
DATA : 19/07/2019
HORA: 10:00
LOCAL: Instituto de Matemática e Estatística
TÍTULO:

Curvatures in Kähler varieties

PALAVRAS-CHAVES:

Kähler, Ricci, holomorphic sectional curvature

PÁGINAS: 100
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

In this work we will discuss the notion of curvature in the particular context of the Kähler varieties. We will study Ricci's curvature and show that in the case of the Kähler varieties this can be described by a particularly simple formula in complex coordinates.
We will also study the holomorphic sectional curvature, which is an analog of the sectional curvature in the real case, and which, as in the real case, characterizes the curvature tensor of the Kähler variety considered.
In addition, we will comment on the case where the holomorphic sectional curvature is constant and the corresponding classification.

MEMBROS DA BANCA:
Externo ao Programa - 1117593 - ELIANE DA SILVA DOS SANTOS
Interno - 284618 - EZIO DE ARAUJO COSTA
Interno - 3130972 - MATHIEU MOLITOR