3 citations · 7 across the 6 of their papers we have counts for
6 papers · 1 filter
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.
Ricci Tensors with Rotational Symmetry on R^n
Ronaldo Garcia, Romildo Pina
In this paper is considered the differential equation Ric(g)=T, where Ric(g) is the Ricci tensor of the metric g and T is a rotational symmetric tensor on R^n. A new, geometric, pr…
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,…
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…
Geometric Mean Curvature Lines on Surfaces Immersed in R3
Ronaldo Garcia, Jorge Sotomayor
Here are studied pairs of transversal foliations with singularities, defined on the Elliptic region (where the Gaussian curvature is positive) of an oriented surface i…