Banca de DEFESA: Fernanda Alves Caixeta

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : Fernanda Alves Caixeta
DATE: 29/05/2024
TIME: 08:30
LOCAL: PPGMAT
TITLE:

On Laguerre isotropic hipersurfaces

KEY WORDS:

Laguerre geometry, L-isotropic hypersurfaces, L-isoparametric hypersurfaces

PAGES: 146
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

We study Laguerre isotropic hypersurfaces in the Euclidean
space, which are hypersurfaces whose Laguerre form is zero
and the eigenvalues of the Laguerre tensor are constant and
equal to $\lambda\geq 0$. We prove a rigidity theorem for
the L-isotropic hypersurfaces parametrized by lines of
curvature. Moreover, we study the hypersurfaces that are
L-isotropic and L-isoparametric simultaneously and
we show that for such a hypersurface $\lambda=0$.

We obtain necessary conditions for the exixtence of L-
isotropic hypersurfaces with $\lambda > 0$ and we prove that

a certain function, determined by the radii of curvature of
the hypersurface, is bounded above by ${1}/{2\lambda}$.

COMMITTEE MEMBERS:
Externo à Instituição - CLAUDIO GORODSKI - USP
Interno - 1984498 - JOAO PAULO DOS SANTOS
Presidente - ***.717.127-** - KETI TENENBLAT - NÃO INFORMADO
Interno - 3101411 - TARCISIO CASTRO SILVA
Externo à Instituição - VALTER BORGES SAMPAIO JUNIOR - UFPA