Cover Image

Relation between the minimal Lorentz surfaces in $\mathbb R^4_2$ and $\mathbb R^3_1$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kanchev, Krasimir, Kassabov, Ognian, Milousheva, Velichka
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry 53B30 (Primary), 53A35, 53A10, 53B25 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Canonical parameters on a surface in $\mathbb R^4$
by: Kassabov, Ognian, et al.
Published: (2025)

Minimal Timelike Surfaces in the Lorentz-Minkowski 3-space and Their Canonical Parameters
by: Kassabov, Ognian, et al.
Published: (2023)

Timelike Surfaces with Parallel Normalized Mean Curvature Vector Field in the Minkowski 4-Space
by: Bencheva, Victoria, et al.
Published: (2024)

Fundamental Theorems for Timelike Surfaces in the Minkowski 4-Space
by: Bencheva, Victoria, et al.
Published: (2024)

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

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

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

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

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)

Genus one minimal k-noids and saddle towers in $\mathbb{H}^2\times\mathbb{R}$
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)

Isoparametric hypersurfaces in $\mathbb{S}^{n}\times \mathbb{R}^{m}$ and $\mathbb{H}^{n}\times \mathbb{R}^{m}$
by: Tan, Huixin, et al.
Published: (2025)

Isotropic submanifolds of $T\mathbb{S}^n$ and their focal sets
by: Georgiou, Nikos, et al.
Published: (2026)

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)

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space
by: Akamine, Shintaro, et al.
Published: (2025)

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

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

The geometric Cauchy problem for rank-one submanifolds
by: Raffaelli, Matteo
Published: (2018)

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

Isoparametric hypersurfaces in $\mathbb{S}^{n}\times \mathbb{S}^{m}$ and $\mathbb{S}^{n}\times \mathbb{H}^{m}$
by: Tan, Huixin, et al.
Published: (2026)

Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
by: da Silva, Luiz C. B., et al.
Published: (2024)

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

The moduli spaces of left-invariant statistical structures on Lie groups
by: Kobayashi, Hikozo, et al.
Published: (2025)

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

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

Interpolation by maximal and minimal surfaces
by: Dey, Rukmini, et al.
Published: (2021)

Rotational Weingarten surfaces in Lorentz-Minkowski space
by: Carretero, Paula, et al.
Published: (2025)

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

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

Bour's theorem for helicoidal surfaces with singularities
by: Hattori, Yuki, et al.
Published: (2023)

Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space
by: Connor, Peter, et al.
Published: (2026)

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

On cohomogeneity one hyperpolar actions related to $G_{2}$
by: Ohno, Shinji, et al.
Published: (2025)

Uniqueness of the Bonnet problem in Thurston geometries
by: Santiago, José S.
Published: (2025)

Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$
by: Shao, Guanhua, et al.
Published: (2025)

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

Planar pseudo-geodesics and totally umbilic submanifolds
by: Markvorsen, Steen, et al.
Published: (2021)

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

Singular minimal surfaces with constant curvature
by: López, Rafael
Published: (2025)

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