27 citations · 167 across the 57 of their papers we have counts for
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math.DG2004
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.
math.DG2004
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…
math.DG2004★ 2 cited
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,…