4 papers · 1 filter
Coisotropic Variational Problems
James D. E. Grant, Emilio Musso
In this article we study constrained variational problems in one independent variable defined on the space of integral curves of a Frenet system in a homogeneous space G/H. We prov…
The Cauchy problem for Lie-minimal surfaces
Emilio Musso
In the present paper we study the Lie sphere geometry of Legendre surfaces by the method of moving frame and we prove an existence theorem for real-analytic Lie-minimal Legendre su…
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…