Geometry on ruled surfaces with finite multiplicity

2025/05/20 by Hayashi, Hiroyuki
#53A05 #57R45 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.13823

Abstract

We consider ruled surfaces with finite multiplicity. We study behaviors of the striction curves and the singularities of the ruled surfaces. We also give geometric meanings of invariants related to the ruled surfaces.

Citations

• Geometry of curves passing through Whitney umbrella
• Flat surfaces along swallowtails
• Singularities of Maximal Surfaces

Related

• Ruled surfaces in 3-dimensional Riemannian manifolds
• Ruled surfaces of finite type with respect to the second fundamental form
• Slant Ruled Surfaces
• Similar Ruled Surfaces with Variable Transformations in the Euclidean 3-space
• Ruled surfaces according to alternative moving frame