Some classes of frontals and its representation formulas

2022/03/29 by Medina-Tejeda, T. A.
#Differential Geometry (math.DG) #FOS: Mathematics #Primary 53A05 #Secondary 53A55

paper · doi:10.48550/arxiv.2203.15690

Abstract

We characterize the extendibility of the normal curvature on frontals and we give a representation formula of this type of frontals. Also we give representation formulas for wavefronts on all types of singularities and others sub classes of these. Some applications to asymptotic curves and lines of curvature on frontals are made.

Related

• Behavior of principal curvatures of frontals near non-front singular points and their application
• Extendibility and boundedness of invariants on singularities of wavefronts
• On surfaces obtained as singular loci of normal congruences of frontals with pure-frontal singular points
• The fundamental theorem for singular surfaces with limiting tangent planes
• Normal and tangent maps to frontals