Curvature lines of a transversal eqüiaffine vector field along a surface in 3-space

2020/08/10 by Craizer, Marcos, Garcia, Ronaldo A.
#53A05 #53A15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.04765

Abstract

In this paper we discuss the behavior of the curvature lines of a transversal eqüiaffine vector field along a surface in 3-space at isolated umbilical points.

Related

• Codimension two Umbilic points on Surfaces Immersed in R³
• On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points
• Mannheim-d'Ocagne-Koenderink type formulas for asymptotic directions
• Critical Curvature of Algebraic Surfaces in Three-Space
• Geometric Mean Curvature Lines on Surfaces Immersed in R3