Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
Similarity:
In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...