Generic Singularities of H-Directions *
Luis Fernando O. Mello · 2003
On immersed surfaces in R 4 we can consider the H-lines , which are characterized by the condition that their tangent lines are carried over the directions of the mean curvature vector field. We call the singularities of these lines H-singularities . In this paper we analyze the H -singularities and we show that their generic local configurations are analogous to Darbouxian umbilic points on surfaces immersed in R 3 .