This work seeks to contribute to the classification of Weingarten surfaces. More precisely, it fully classifies three families of surfaces (named tubular, cyclic and canal surfaces) in a tridimensional space form (Euclidean, ...

We present a revised definition of a Ribaucour transformation for submanifolds of space forms, with flat normal bundle, motivated by the classical definition and by more recent extensions. The new definition provides a ...

In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. ...

Baseado no trabalho de Rafael López, estudamos quais são as superfícies do espaço euclidiano de dimensão 3, folheadas por círculos, que satisfazem uma condição de Weingarten do tipo aH+bK=c, onde a, b e c são constantes ...

This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...

Consideremos superfícies linear Weingarten hiperbólicas imersas em R3 tais que as curvaturas Gaussiana K e média H satisfazem 1+2βH+γK = 0, onde β,γ∈Reβ2−γ<0. A primeira e segunda formas fundamentais destas superfícies são ...

In this work, we present a study on the theory of differential geometry of surfaces with a language of moving references. At first, we will introduce some groups of matrices and their actions in Euclidean space. Once this ...

This research studies the change in the properties of water flow and solute transport in soils irrigated with hydrocarbon production water containing chlorides by applying biochars. Biochar is considered as an appropriate ...