Banca de DEFESA: Alancoc dos Santos Alencar

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : Alancoc dos Santos Alencar
DATE: 15/02/2023
TIME: 14:00
LOCAL: a definir
TITLE:

On the inverse mean curvature flow by parallel hypersur-
faces in space forms

KEY WORDS:

Space forms; Parallel hypersurfaces; Inverse mean curvature
flow; Isoparametric hypersurfaces.

PAGES: 76
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

We prove that an oriented hypersurface in a space form, whose mean cur-
vature does not vanish at any point, is an initial condition for a solution

to the inverse mean curvature flow (IMCF) by parallel hypersurfaces if and
only if it is isoparametric. Considering the isoparametric hypersurfaces in

space forms, we obtain the solutions to the IMCF by parallel hypersurfa-
ces explicitly. Moreover, we study these solutions in detail, describing their

behavior in the maximal interval where they are defined. For the isopara-
metric hypersurfaces in the hyperbolic space and in the sphere, with two

or four distinct principal curvatures, we consider the additional assumption
that these curvatures have the same multiplicity.

BANKING MEMBERS:
Externo à Instituição - ERNANI DE SOUSA RIBEIRO JUNIOR
Presidente - 269.717.127-49 - KETI TENENBLAT - NÃO INFORMADO
Interna - 1286940 - LUCIANA MARIA DIAS DE AVILA RODRIGUES
Interno - 3193644 - PEDRO ROITMAN
Externo à Instituição - VALTER BORGES SAMPAIO JUNIOR