On the $FRS$-generic family of space cusps
Pouya Mehdipour, Mostafa Salarinoghabi
TL;DR
This paper studies the geometric properties of space curves under FRS-deformations, focusing on flattenings, vertices, and twistings, especially for families with low codimension.
Contribution
It introduces the analysis of FRS-deformations for space curves with codimension up to 3, exploring their geometric features.
Findings
Characterization of flattenings, vertices, and twistings in space curves.
Analysis of FRS-deformations in low codimension families.
Insights into geometric behavior under specific deformations.
Abstract
We consider in this paper the -deformations of a family of space curves with codimension . Some geometric aspects of a space curve such as flattenings, vertices and twistings points has been studied.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Numerical Analysis Techniques · Geometric Analysis and Curvature Flows