21 citations · 121 across the 34 of their papers we have counts for
34 papers
Conformal geometry of quasi-umbilical timelike surfaces
Emilio Musso, Lorenzo Nicolodi, Mason Pember
The paper focuses on the conformal Lorentz geometry of quasi-umbilical timelike surfaces in the -Einstein universe, the conformal compactification of Minkowski 3-space reali…
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
Annalisa Calini, Thomas Ivey, Emilio Musso
We investigate geometric evolution equations for Legendrian curves in the 3-sphere which are invariant under the action of the unitary group . We define a natural sympl…
On the Total CR Twist of Transversal Curves in the 3-Sphere
Emilio Musso, Lorenzo Nicolodi
We investigate the total CR twist functional on transversal curves in the standard CR 3-sphere . The question of the integration by quadratures of…
Closed -Elasticae in the Hyperbolic Plane
Emilio Musso, Alvaro Pampano
We study critical trajectories in the hyperbolic plane for the -Bernoulli's bending energy with length constraint. Critical trajectories with periodic curvature are classified…
Closed 1/2-Elasticae in the 2-Sphere
Emilio Musso, Alvaro Pampano
We study critical trajectories in the sphere for the -Bernoulli's bending functional with length constraint. For every Lagrange multiplier encoding the conservation of the len…
Conformal geometry of isotropic curves in the complex quadric
Emilio Musso, Lorenzo Nicolodi
Let be the complex 3-quadric endowed with its standard complex conformal structure. We study the complex conformal geometry of isotropic curves in . By…