Deformations of Legendrian Curves
Marco Silva Mendes, Orlando Neto
TL;DR
This paper develops a comprehensive framework for deforming Legendrian curves, focusing on constructing universal and equimultiple versal deformations of their parametrizations.
Contribution
It introduces methods to construct versal and equimultiple versal deformations specifically for Legendrian curve parametrizations, advancing deformation theory in contact geometry.
Findings
Established construction of versal deformations for Legendrian curves
Provided explicit methods for equimultiple versal deformations
Enhanced understanding of deformation spaces of Legendrian curves
Abstract
We construct versal and equimultiple versal deformations of the parametrization of a Legendrian curve.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Advanced Numerical Analysis Techniques