Cover Image

Two classes of Willmore Surfaces in $\mathbb{S}^2\times \mathbb{S}^2$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chai, Xiaoling, Kobayashi, Shimpei, Wang, Changping, Xie, Zhenxiao
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry 53A30, 53A10, 53C42
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Total mean curvature surfaces in the product space $\mathbb{S}^n\times\mathbb{R}$ and applications
by: Albujer, Alma L., et al.
Published: (2024)

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

Willmore surfaces in 4-dimensional conformal manifolds
by: Wang, Changping, et al.
Published: (2023)

Solitons of the mean curvature flow in $\mathbb{s}^2\times\mathbb{R}$
by: López, Rafael, et al.
Published: (2024)

On the geometry of the asymptotic boundary of translators in $\mathbb H^2\times \mathbb R$
by: Pipoli, Giuseppe, et al.
Published: (2025)

The class of grim reapers in $\mathbb{H}^2\times\mathbb{R}$
by: Bueno, Antonio, et al.
Published: (2024)

Complete Minimal Surfaces in $\mathbb{R}^4$ with Three Embedded Planar Ends
by: Lee, Jaehoon, et al.
Published: (2025)

A duality for minimal surfaces in the Heisenberg group
by: Kobayashi, Shimpei
Published: (2025)

Spheres with parallel mean curvature in $\mathbb{S}^2 \times \mathbb{H}^2$
by: Stas, Giel, et al.
Published: (2025)

Equivariant min-max theory and the spherical Bernstein problem in $\mathbb{S}^4$
by: Wang, Tongrui, et al.
Published: (2026)

Bubble classification of immersions at the boundary of the moduli space with $8π$ Willmore energy
by: Scharrer, Christian, et al.
Published: (2026)

On the index of minimal hypersurfaces in $\mathbb{S}^{n+1}$ with $λ_1<n$
by: Chen, Hang, et al.
Published: (2024)

Timelike minimal surface in $\mathbb{E}^3_1$ with arbitrary ends
by: Vasu, Priyank, et al.
Published: (2025)

Maximal surfaces in the Lorentzian Heisenberg group
by: Brander, David, et al.
Published: (2023)

Stability of cylinders in $\mathbb{E}(κ,τ)$ homogeneous spaces
by: Bueno, Antonio, et al.
Published: (2024)

Do Carmo's problem for CMC hypersurfaces in $\mathbb{R}^6$
by: Chen, Jingche, et al.
Published: (2025)

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

Generalized Bishop frames of regular time-like curves in 4-dimensional Lorentz space $\mathbb{L}^{4}$
by: Nomoto, Subaru
Published: (2025)

Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$
by: Cerezo, Alberto
Published: (2025)

Minimal graphs over non-compact domains in 3-manifolds fibered by a Killing vector field
by: Del Prete, Andrea
Published: (2023)

Invariant constant mean curvature tubes in homogeneous spaces
by: Käse, Philipp, et al.
Published: (2024)

The higher-order Henneberg-type minimal surfaces family in $\mathbb{R}^4$
by: Güler, Erhan, et al.
Published: (2025)

A Weierstrass-Kenmotsu Type Representation for CMC $0\le H<1$ in \$\mathbb{H}^3(-1)$
by: Toda, Magdalena, et al.
Published: (2026)

Horizontal Delaunay surfaces with constant mean curvature in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$
by: Manzano, José M., et al.
Published: (2020)

Minimal reflection surfaces in $\mathbb S^3.$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons
by: Bobenko, Alexander I., et al.
Published: (2024)

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

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature
by: Ji, Meng, et al.
Published: (2025)

Height estimates for surfaces with some constant curvature in $\mathbb{r} \times_{f} \mathbb{r}^{2}$
by: Delgado, Jairo, et al.
Published: (2025)

A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space
by: Inoguchi, Junichi, et al.
Published: (2024)

On the conformal volume of 2-tori
by: Bryant, Robert L.
Published: (2015)

Multiplicity one for equivariant min-max theory in prescribed homology classes
by: Wang, Tongrui
Published: (2026)

Genus one minimal k-noids and saddle towers in $\mathbb{H}^2\times\mathbb{R}$
by: Castro-Infantes, Jesús, et al.
Published: (2020)

A construction of constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$ and the Krust property
by: Castro-Infantes, Jesús, et al.
Published: (2020)

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

Screw motion surfaces of constant mean curvature in homogeneous 3-manifolds
by: Käse, Philipp
Published: (2022)

Willmore surfaces in spheres via loop groups: a survey
by: Dorfmeister, Josef F., et al.
Published: (2024)

Rotational hypersurfaces family satisfying $\mathbb{L}_{n-3}\mathcal{G}=\mathcal{A}\mathcal{G}$ in ${\mathbb{E}}^{n}$
by: Güler, Erhan, et al.
Published: (2021)

Biconservative Surfaces in Robertson-Walker Spaces
by: Turgay, Nurettin Cenk, et al.
Published: (2024)

A congruence theorem for compact embedded hypersurfaces in $\mathbb{S}^{n+1}_+$
by: Freitas, Allan, et al.
Published: (2024)

Morse index of minimal products of minimal submanifolds in spheres
by: Wang, Changping, et al.
Published: (2024)