27 citations · 107 across the 31 of their papers we have counts for
32 papers
An encounter in the realm of Structural Stability between a qualitative theory for geometric shapes and one for the integral foliations of differential equations
Jorge Sotomayor
This evocative essay focuses on some landmarks that led the author to the study of principal curvature configurations on surfaces in , their structural stability and g…
On a List of Ordinary Differential Equations Problems
Jorge Sotomayor
This evocative essay focuses on the mathematical activities witnessed by the author along 1962-64 at IMPA. The list of research problems proposed in September 1962 by Mauricio Peix…
Mathematical Encounters
Jorge Sotomayor
This evocative essay focuses on mathematical activities witnessed by the author along 1962-64 at IMPA. The list of research problems proposed in September 1962 by Mauricio Peixoto…
Lines of Curvature on Quadric Hypersurfaces of
Jorge Sotomayor, Ronaldo Garcia
Here are described the geometric structures of the lines of principal curvature and the partially umbilic singularities of the tridimensional non compact generic quadric hypersurfa…
Partially umbilic singularities of hypersurfaces of
Débora Lopes, Jorge Sotomayor, Ronaldo Garcia
This paper establishes the geometric structure of the lines of principal curvature of a hypersurface immersed in in a neighborhood of the set of its p…
Umbilic Singularities and Lines of Curvature on Ellipsoids of
Débora Lopes, Jorge Sotomayor, Ronaldo Garcia
The topological structure of the lines of principal curvature, the umbilic and partially umbilic singularities of all tridimensional ellipsoids of is described.