CMC-1 Surfaces in Hyperbolic 3-space using the Bianchi-Calo method
Levi Lopes de Lima, Pedro Roitman
Abstract
In this note we present a method for constructing CMC-1 surfaces in hyperbolic 3-space 3(-1) in terms of holomorphic data first introduced in Bianchi's Lezioni di Geometria Differenziale of 1927, therefore predating by many years the modern approaches due to Bryant, Small and others. Besides its obvious historical interest, this note aims to complement Bianchi's analysis by deriving explicit formulae for CMC-1 surfaces and comparing the various approaches encountered in the literature.
Create a lesson
Related papers
Uniqueness of Ricci flows from singular initial data
Laura Flower, Man-Chun Lee, Felix Schulze
Generalised Killing Spinors and Euclidean Hypersurfaces
Samuel Forster, Marie-Amélie Lawn
Perelman's entropy and Gromov-Hausdorff versus dynamical stability of round spheres
Reto Buzano, Shengwen Wang
An ambient metric framework for sharp compactness of the constant Q2N-curvature problem
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
Rigidity of Ricci solitons for φ-related metallic semi-Riemannian structures on para-Kenmotsu manifolds
Yasemin Karababa
On isotropic points and contact invariants of curves
Amanda Dias Falqueto, Juan J. Nuño Ballesteros, Raúl Oset Sinha