On the Cauchy-Riemann geometry of transversal curves in the 3-sphere
zbMath1488.53198arXiv2004.11350MaRDI QIDQ5155059
Filippo Salis, Emilio Musso, Lorenzo Nicolodi
Publication date: 5 October 2021
Full work available at URL: https://arxiv.org/abs/2004.11350
contact geometryself-linking numberBennequin numbercritical knotsCR geometry of 3-sphereCR invariants of transversal knotsstrain functional for transversal curvestransversal curves
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Curves in Euclidean and related spaces (53A04) Knot theory (57K10)
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Cites Work
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- An example of a smooth linear partial differential equation without solution
- Surfaces in classical geometries. A treatment by moving frames
- Chains in CR geometry
- Integrable optical geometry
- An intrinsic construction of Fefferman's CR metric
- On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
- Calculus of variations via the Griffiths formalism
- Real hypersurfaces in complex manifolds
- Correction to 'Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains'
- Distinguished curves in pseudo-convex boundaries
- Transversal torus knots
- Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
- Invariants of Legendrian and transverse knots in the standard contact space
- Embedding and knotting of positive curvature surfaces in 3-space
- Differential algebra of Legendrian links
- Quantization of the conformal arclength functional on space curves
- Coisotropic variational problems
- The local embedding problem for optical structures
- Knots and contact geometry. I: Torus knots and the figure eight knot.
- Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space
- The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere
- Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe
- The geometric Cauchy problem for the membrane shape equation
- Reduction for Constrained Variational Problems on 3-Dimensional Null Curves
- The Fefferman Metric and Pseudohermitian Invariants
- Chains on CR Manifolds and Lorentz Geometry
- Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
- Self-Linking and the Gauss Integral in Higher Dimensions
- The Writhing Number of a Space Curve
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