4 papers
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,…
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…