Cover Image

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Akamine, Shintaro, Lee, Wonjoo, Yang, Seong-Deog
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Primary 53A10, Secondary 53B30, 35B08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bernstein-type Theorems for constant mean curvature surfaces in the three-dimensional light cone
by: Akamine, Shintaro, et al.
Published: (2026)

Ruled zero mean curvature surfaces in the three-dimensional light cone
by: Cho, Joseph, et al.
Published: (2025)

Spinor representation in isotropic 3-space via Laguerre geometry
by: Cho, Joseph, et al.
Published: (2023)

Björling problem for zero mean curvature surfaces in the three-dimensional light cone
by: Cho, Joseph, et al.
Published: (2023)

Zero mean curvature surfaces in isotropic space with planar curvature lines
by: Cho, Joseph, et al.
Published: (2024)

Weierstrass representations of discrete constant mean curvature surfaces in isotropic space
by: Cho, Joseph, et al.
Published: (2025)

Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space
by: Akamine, Shintaro
Published: (2024)

Framed null curves and timelike surfaces via Lorentzian harmonic maps into de-Sitter 2-space
by: Akamine, Shintaro, et al.
Published: (2026)

Singularities on timelike minimal surfaces in Lorentzian Heisenberg group
by: Akamine, Shintaro, et al.
Published: (2026)

Null hypersurfaces as wave fronts in Lorentz-Minkowski space
by: Akamine, Shintaro, et al.
Published: (2022)

Relation between the minimal Lorentz surfaces in $\mathbb R^4_2$ and $\mathbb R^3_1$
by: Kanchev, Krasimir, et al.
Published: (2024)

Invariant constant mean curvature tubes around a horizontal geodesic in $\mathbb{E}(κ,τ)$-spaces
by: Manzano, José M.
Published: (2023)

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

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)

The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces
by: Costanza, Federico, et al.
Published: (2023)

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)

Nodal set comparison for Allen--Cahn solutions with conical asymptotics
by: Lee, Sanghoon, et al.
Published: (2026)

Isotropy invariant graphical mean curvature flows in warped products
by: Fujihara, Naotoshi, et al.
Published: (2024)

Logarithmic spirals on surfaces of constant Gaussian curvature
by: Blacker, Casey, et al.
Published: (2023)

Notes on projective structures with torsion
by: Asuke, Taro
Published: (2023)

Generalized Calabi correspondence and complete spacelike surfaces
by: Lee, Hojoo, et al.
Published: (2013)

Foliations of asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature
by: Kroencke, Klaus, et al.
Published: (2024)

Corrections of minor misstatements in several papers on ECS manifolds
by: Derdzinski, Andrzej, et al.
Published: (2024)

Conjugate Plateau constructions in product spaces
by: Castro-Infantes, Jesús, et al.
Published: (2022)

A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds
by: Grong, Erlend, et al.
Published: (2022)

Lagrangian Translating Solitons and Special Lagrangians in $\mathbb{C}^m$ with Symmetries
by: Su, Wei-Bo, et al.
Published: (2025)

A survey on Bernstein-type theorems for entire graphical surfaces
by: Kawakami, Yu
Published: (2024)

Positive Hermitian curvature flow on 2-step nilpotent Lie groups
by: Giudice, Ettore Lo
Published: (2025)

Similarity surfaces, connections, and the measurable Riemann mapping theorem
by: Chéritat, Arnaud, et al.
Published: (2022)

The geometric Cauchy problem for constant-rank submanifolds
by: Raffaelli, Matteo
Published: (2024)

Timelike Meridian Surfaces of Elliptic type in the Minkowski 4-Space
by: Bencheva, Victoria, et al.
Published: (2025)

On the second boundary value problem for mean curvature flow in Minkowski space
by: Huang, Rongli
Published: (2024)

Generic level sets in mean curvature flow are BV solutions
by: Ullrich, Anton, et al.
Published: (2023)

Geodesic normal coordinates and natural tensors for pseudo-Riemannian submanifolds
by: Graham, C Robin, et al.
Published: (2024)

A note on isothermic coordinate systems for spacelike surfaces with constant mean curvature in Lorentz-Minkowski space
by: Kawakami, Yu, et al.
Published: (2025)

Discrete constant mean curvature cylinders and isothermic tori
by: Cho, Joseph, et al.
Published: (2024)

Lorentzian homogeneous structures with indecomposable holonomy
by: Greenwood, Steven, et al.
Published: (2024)

Riemannian flow techniques on totally geodesic null hypersurfaces
by: Gutiérrez, Manuel, et al.
Published: (2025)

The constant mean curvature hypersurfaces with prescribed gradient image
by: Huang, Rongli, et al.
Published: (2024)

On Invariant Conjugate Symmetric Statistical Structures on the Space of Zero-Mean Multivariate Normal Distributions
by: Kobayashi, Hikozo, et al.
Published: (2025)