105 citations · 225 across the 27 of their papers we have counts for
27 papers
On a variational problem for curves in Lie sphere geometry
Lorenzo Nicolodi
Let be the unit tangent bundle of the unit 3-sphere acted on transitively by the contact group of Lie sphere transformations. We study the Lie sphere geometry of generic curves…
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…
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…
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…
On the Cauchy-Riemann geometry of transversal curves in the 3-sphere
Emilio Musso, Lorenzo Nicolodi, Filippo Salis
Let be the unit sphere of with its standard Cauchy-Riemann (CR) structure. This paper investigates the CR geometry of curves in which are…
On the restricted conformal group of the (1+n)-Einstein static universe
Olimjon Eshkobilov, Emilio Musso, Lorenzo Nicolodi
Explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed. Based on thes…