AbstractAsymptotic curves are well defined on a smooth surface M in the Euclidean space R5 and are solutions of a binary quintic differential equation. We propose in this paper a definition of the lines of principal curvature on M that uses covariants of binary quintic forms as well as the metric structure on M
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Abstract. We consider surfaces with parallel mean curvature vector (pmc sur-faces) in CPnR and CHnR,...
AbstractLet H⊆P5 denote the hypersurface of binary quintics in involution, with defining equation gi...
AbstractAsymptotic curves are well defined on a smooth surface M in the Euclidean space R5 and are s...
In this paper are determined the principal curvatures and principal curvature lines on canal surface...
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of...
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is e...
summary:The paper presents the deduction of the equations of surfaces between the principal curvatur...
In this paper is studied the relationship between quadratic tangencies of principal lines with the b...
The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is establishe...
We define and study in this paper families of conjugate and reflected curve congruences associated t...
Pontos quadráticos (ou pontos hiperbólicos especiais) são pontos em que uma superfície pode ser apro...
We determine local topological types of binary differential equations of asymptotic curves at parabo...
In this paper, we work on the ruled surfaces obtained by aquasi normal and quasi binormal vectors al...
We begin our thesis with the study of quadric surfaces in R^n. We provide a detailed proof of the w...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Abstract. We consider surfaces with parallel mean curvature vector (pmc sur-faces) in CPnR and CHnR,...
AbstractLet H⊆P5 denote the hypersurface of binary quintics in involution, with defining equation gi...
AbstractAsymptotic curves are well defined on a smooth surface M in the Euclidean space R5 and are s...
In this paper are determined the principal curvatures and principal curvature lines on canal surface...
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of...
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is e...
summary:The paper presents the deduction of the equations of surfaces between the principal curvatur...
In this paper is studied the relationship between quadratic tangencies of principal lines with the b...
The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is establishe...
We define and study in this paper families of conjugate and reflected curve congruences associated t...
Pontos quadráticos (ou pontos hiperbólicos especiais) são pontos em que uma superfície pode ser apro...
We determine local topological types of binary differential equations of asymptotic curves at parabo...
In this paper, we work on the ruled surfaces obtained by aquasi normal and quasi binormal vectors al...
We begin our thesis with the study of quadric surfaces in R^n. We provide a detailed proof of the w...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Abstract. We consider surfaces with parallel mean curvature vector (pmc sur-faces) in CPnR and CHnR,...
AbstractLet H⊆P5 denote the hypersurface of binary quintics in involution, with defining equation gi...
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