134 citations
- Universidade de São PauloBR6 papers
- Universidade de BrasíliaBR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Imperial College LondonGB2 papers
- Pontifícia Universidade Católica de GoiásBR2 papers
- Universidade Federal de São CarlosBR2 papers
- Autonomous University of San Luis PotosíMX1 paper
- Brazilian Society of Computational and Applied MathematicsBR1 paper
- Goethe University FrankfurtDE1 paper
- Institut NéelFR1 paper
- Laboratoire de Physique Théorique de la Matière CondenséeFR1 paper
- Syracuse UniversityUS1 paper
4 papers · 1 filter
Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space
Armando V. Corro, Antonio Martinez, Francisco Milan
We construct examples of flat surfaces in which are graphs over a two-punctured horosphere and classify complete embedded flat surfaces in with only o…
Lines of Curvature on Surfaces, Historical Comments and Recent Developments
Jorge Sotomayor, Ronaldo Garcia
This survey starts with the historical landmarks leading to the study of principal configurations on surfaces, their structural stability and further generalizations. Here it is po…
On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points
Ronaldo Garcia, Jorge Sotomayor
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.
A metric property of umbilic points
Ronaldo Garcia, Jorge Sotomayor
In the space of cubic forms of surfaces, regarded as a -space and endowed with a natural invariant metric, the ratio of the volumes of those representing umbilic p…