Communications in Analysis and Geometry

Volume 31 (2023)

Number 3

Constant mean curvature $n$-noids in hyperbolic space

Pages: 731 – 791

DOI: https://dx.doi.org/10.4310/CAG.2023.v31.n3.a6

Author

Thomas Raujouan (Institut Denis Poisson, Université de Tours, France)

Abstract

Using the DPW method, we construct genus zero Alexandrov-embedded constant mean curvature (greater than one) surfaces with any number of Delaunay ends in the hyperbolic space.

Full Text (PDF format)

Received 18 May 2020

Accepted 4 January 2021

Published 4 January 2024