4 papers
Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
Emilio Musso, Lorenzo Nicolodi
We study the existence of closed trajectories of a particle model on null curves in anti-de Sitter 3-space defined by a functional which is linear in the curvature of the particle…
Differential systems associated with tableaux over Lie algebras
Emilio Musso, Lorenzo Nicolodi
We give an account of the construction of exterior differential systems based on the notion of tableaux over Lie algebras as developed in [Comm. Anal. Geom 14 (2006), 475-496; math…
The Bianchi-Darboux transform of L-isothermic surfaces
E. Musso, L. Nicolodi
We study an analogue of the classical Bianchi-Darboux transformation for L-isothermic surfaces in Laguerre geometry, the Bianchi-Darboux transformation. We show how to construct th…
Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space
Udo Hertrich-Jeromin, Emilio Musso, Lorenzo Nicolodi
Various transformations of isothermic surfaces are discussed and their interrelations are analyzed. Applications to cmc-1 surfaces in hyperbolic space and their minimal cousins in…