Cover Image

Solutions of the Sinh-Gordon Equation of Spectral Genus Two and constrained Willmore Tori I

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Knopf, Markus, Hoepner, Ricardo Pena, Schmidt, Martin U.
Format:	Preprint
Published:	2017
Subjects:	Differential Geometry 53A05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2022)

Links between the integrable systems of CMC surfaces, isothermic surfaces and constrained Willmore surfaces
by: Leschke, Katrin
Published: (2025)

Quaternionic Analysis of Conformal Maps and the Willmore Functional
by: Ogilvie, Ross, et al.
Published: (2025)

Willmore Flow of Complete Surfaces
by: Li, Long-Sin
Published: (2022)

Short closed geodesics and the Willmore energy
by: Müller, Marius, et al.
Published: (2023)

The Willmore Flow of Tori of Revolution
by: Dall'Acqua, Anna, et al.
Published: (2020)

Two classes of Willmore Surfaces in $\mathbb{S}^2\times \mathbb{S}^2$
by: Chai, Xiaoling, et al.
Published: (2026)

Energy quantization for constrained Willmore surfaces
by: Scharrer, Christian, et al.
Published: (2025)

Index and nullity of minimal surface doublings, I
by: Kapouleas, Nikolaos, et al.
Published: (2025)

On the Arnold's conjecture on hyperbolic homogeneous polynomials
by: Ortiz-Rodríguez, Adriana, et al.
Published: (2013)

Heintze-Karcher and Reverse Alexandrov-Fenchel Inequalities via Focal Geometry
by: Kwong, Kwok-kun, et al.
Published: (2026)

Concircular hypersurfaces and concircular helices in space forms
by: Lucas, Pascual, et al.
Published: (2026)

On the realization problem of plane real algebraic curves as Hessian curves
by: Calderón, Angelito Camacho, et al.
Published: (2013)

Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3--Space
by: Aksoyak, Ferdağ Kahraman, et al.
Published: (2022)

A property that characterizes the Enneper surface and helix surfaces
by: Lucas, Pascual, et al.
Published: (2026)

Rotational surfaces with prescribed curvatures
by: Carretero, Paula, et al.
Published: (2023)

Concircular helices and concircular surfaces in Euclidean 3-space R3
by: Lucas, Pascual, et al.
Published: (2026)

On quasicomplete $k$-surfaces in $3$-dimensional space-forms
by: Smith, Graham
Published: (2022)

Surfaces with concentric or parallel $K$-contours
by: Fujimori, Shoichi, et al.
Published: (2024)

Degenerate Umbilic Points of Analytic Surfaces
by: Guckenheimaer, John
Published: (2024)

An index bound for smooth umbilic points
by: Guilfoyle, Brendan, et al.
Published: (2012)

$K^α$-translators of offset surfaces
by: Demirci, Burcu Bektaş, et al.
Published: (2024)

Proof of the Toponogov Conjecture on Complete Surfaces
by: Guilfoyle, Brendan, et al.
Published: (2020)

New minimal surface doublings of the Clifford torus and contributions to questions of Yau
by: Kapouleas, Nikolaos, et al.
Published: (2024)

Geometry on the Gluing Locus of Two Surfaces
by: Junzhen, Li
Published: (2025)

Gluing Karcher-Scherk saddle towers I: Triply periodic minimal surfaces
by: Chen, Hao, et al.
Published: (2021)

Minimal Surfaces of Finite Genus: Classification, Dynamics and Laminations
by: Pérez, Joaquín
Published: (2025)

A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds
by: Lee, Jihye
Published: (2025)

Isometric immersions of constant curvature one metrics on the 2-sphere with two conical singularities into Euclidean 3-space: A partial solution to the Gálvez-Hauswirth-Mira problem
by: Wei, Zhiqiang
Published: (2025)

Minimal hypersurfaces in $\mathbb{S}^{4}(1)$ by doubling the equatorial $\mathbb{S}^{3}$
by: Kapouleas, Nikolaos, et al.
Published: (2024)

Complex-valued extension of mean curvature for surfaces in Riemann-Cartan geometry
by: Lee, Dongha
Published: (2025)

New low-genus desingularizations of three Clifford tori and related characterizations
by: Kapouleas, Nikolaos, et al.
Published: (2023)

Intrinsicality of second fundamentals of hypersurfaces in space form
by: Guan, Pengfei, et al.
Published: (2025)

Willmore surfaces and Hopf tori in homogeneous 3-manifolds
by: Albujer, Alma L., et al.
Published: (2024)

Bonnet pairs, isothermic surfaces and the retraction form
by: Burstall, F. E., et al.
Published: (2025)

Genus two embedded minimal surfaces in $\mathbb{S}^3$ with bidihedral symmetry
by: Espinar, José M., et al.
Published: (2025)

Genus three embedded doubly periodic minimal surfaces with parallel ends
by: Connor, Peter, et al.
Published: (2021)

A necessary condition for cylindrical curves in terms of curvature and torsion
by: López, Rafael
Published: (2026)

Surfaces of constant principal-curvatures ratio in isotropic geometry
by: Yorov, Khusrav, et al.
Published: (2023)

A Characterization of Curves that Lie on a Totally Umbilical Surface of a Space Form
by: López, Rafael
Published: (2024)