Geometry on ruled surfaces with finite multiplicity
Hiroyuki Hayashi
TL;DR
This paper investigates the geometric properties and singularities of ruled surfaces with finite multiplicity, focusing on striction curves and invariants to deepen understanding of their structure.
Contribution
It provides new insights into the behavior of striction curves and the geometric interpretation of invariants for ruled surfaces with finite multiplicity.
Findings
Analysis of striction curve behaviors
Characterization of singularities
Geometric interpretation of invariants
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology