Constant mean curvature surfaces in hyperbolic 3-space via loop groups

JF Dorfmeister, JI Inoguchi… - Journal für die reine und …, 2014 - degruyter.com
In hyperbolic 3-space surfaces of constant mean curvature H come in three types,
corresponding to the cases,,. Via the Lawson correspondence the latter two cases …

Minimal n-noids in hyperbolic and anti-de Sitter 3-space

AI Bobenko, S Heller, N Schmitt - Proceedings of the …, 2019 - royalsocietypublishing.org
We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of
an-punctured sphere by loop group factorization methods. The end behaviour of the …

Open Iwasawa cells and applications to surface theory

JF Dorfmeister - Variational problems in differential geometry, 2012 - cambridge.org
In recent years, many surfaces of a special type, like surfaces of constant mean curvature
(CMC) in R3, Willmore surfaces in Sn or spacelike mean curvature surfaces in Minkowski …

Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

JF Dorfmeister, J Inoguchi, S Kobayashi - Complex Manifolds, 2022 - degruyter.com
We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using
the generalized Weierstrass type representation, the so-called loop group method. In …

Minimal surfaces with non-trivial topology in the three-dimensional Heisenberg group

JF Dorfmeister, J Inoguchi, S Kobayashi - arXiv preprint arXiv:1903.00795, 2019 - arxiv.org
We study symmetric minimal surfaces in the three-dimensional Heisenberg group $\mathrm
{Nil} _3 $ using the generalized Weierstrass type representation, the so-called loop group …

Constant mean curvature surfaces in hyperbolic 3-space

E Raab - 2014 - diva-portal.org
The aim of this bachelor's thesis has been to investigate a type of surfaces that correspond
to the greatest contributions of a scattering amplitude in a type of string theory. These are …