5 citations · 12 across the 7 of their papers we have counts for
7 papers
Historical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in
Jorge Sotomayor
This is an essay on the historical landmarks leading to the study of principal configurations on surfaces, their structural stability and further generalizations. Here it is pointe…
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.
Lines of Mean Curvature on Surfaces Immersed in R3
Ronaldo Garcia, Jorge Sotomayor
Associated to oriented surfaces immersed in R^3 here are studied pairs of transversal foliations with singularities, defined on the Elliptic region, where the Gaussian curvature K,…
Principal Mean Curvature Foliations on Surfaces immersed in
R. Garcia, L. F. Mello, J. Sotomayor
Here are studied qualitative properties of the families of curves --foliations-- on a surface immersed in , along which it bends extremally in the direction of the m…
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…
Harmonic Mean Curvature Lines on Surfaces Immersed in R3
Ronaldo Garcia, Jorge Sotomayor
Consider oriented surfaces immersed in Associated to them, here are studied pairs of transversal foliations with singularities, defined on the Elliptic region, where…