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The isoperimetric problem for lens spaces
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2019)
Resolvemos o problema isoperimétrico nos espaços da lente com grande grupo fundamental. Nomeadamente, provamos que as superfícies isoperimétricas são esferas geodésicas ou quocientes de toros de Clifford. Mostramos também ...
A FREE BOUNDARY ISOPERIMETRIC PROBLEM IN HYPERBOLIC 3-SPACE BETWEEN PARALLEL HOROSPHERES
(PACIFIC JOURNAL MATHEMATICS, 2010)
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres ...
Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems
(Indiana Univ Math JournalBloomingtonEUA, 1999)
The isoperimetric problem in spherical cylinders
(Kluwer Academic PublDordrechtHolanda, 2004)
A FREE BOUNDARY ISOPERIMETRIC PROBLEM IN HYPERBOLIC 3-SPACE BETWEEN PARALLEL HOROSPHERES
(PACIFIC JOURNAL MATHEMATICSEstados Unidos, 2010)
Máximos e mínimos na geometria euclidiana: uma abordagem histórica
(2013)
The goal of this work is to perform a historical approach of important results about maxima and minima, on Euclidean geometry, involving perimeters, areas and volumes. As a highlight, we can mention the Dido’s isoperimetric ...