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Teorema de holonomia normal
(Universidade Federal de São Carlos, 2013-08-30)
In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...
Teorema de Schur no plano de Minkowski e caracterização de hélices inclinadas no espaço de Minkowski
(Universidade Federal de São Carlos, 2013-06-27)
A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, that was proof by A. Schur in 1921, when both curvatures agree pointwise [3]. The proof in the general case was proved in ...
As hipersuperfíces de Sbrana-Cartan
(Universidade Federal de São Carlos, 2013-01-09)
In this work, based on the papers [5] and [6], we present the classification of Euclidean hypersurfaces that admit nontrivial isometric deformations, called Sbrana -Cartan hypersurfaces, by means of the Gauss parameterization.