Cover Image

Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Orriols, Gerard, Rivière, Tristan
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Existence and partial regularity of Legendrian area-minimizing currents
by: Orriols, Gerard
Published: (2024)

Weak immersions with second fundamental form in a critical Sobolev space
by: Martino, Dorian, et al.
Published: (2025)

An estimation of the Gauss curvature and the modified defect relation for the Gauss map of immersed harmonic surfaces in $\mathbb{R}^n$
by: Liu, Zhixue, et al.
Published: (2023)

Minimal hypersurfaces in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature are totally geodesic
by: Cui, Qing
Published: (2024)

Construction of harmonic coordinates for weak immersions
by: Martino, Dorian, et al.
Published: (2025)

The Unique Tangent Cone Property for Weakly Holomorphic Maps into Projective Algebraic Varieties
by: Caniato, Riccardo, et al.
Published: (2021)

On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety
by: Quang, Si Duc, et al.
Published: (2022)

Stationary surfaces of height-dependent weighted area functionals in $\mathbb{R}^3$ and $\mathbb{L}^3$
by: Martínez, Antonio, et al.
Published: (2024)

Isometric Euclidean submanifolds with isometric Gauss maps
by: Dajczer, Marcos, et al.
Published: (2024)

Morse index stability for p-Yang-Mills connections
by: Gauvrit, Mario, et al.
Published: (2025)

The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions
by: Lan, Tian, et al.
Published: (2025)

On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$
by: Huynh, Dinh Tuan
Published: (2024)

On the Gauss Map of Anisotropic Minimal Surfaces and applications to the Morse Index estimates
by: Inoue, Toshimi
Published: (2024)

Total curvature of a complete minimal surface and the modified defect relation of a Fermat hypersurface for the Gauss map
by: Quang, Si Duc, et al.
Published: (2026)

On the Gauss map of equivariant immersions in hyperbolic space
by: Emam, Christian El, et al.
Published: (2020)

Ramification and unicity theorems for Gauss maps of complete space-like stationary surfaces in four-dimensional Lorentz-Minkowski space
by: Ou, Li
Published: (2024)

The Gauss map of hypersurfaces with constant weighted mean curvature in the Gaussian space
by: Gomez, Michael, et al.
Published: (2023)

The Regularity of Critical Points to Scale-Invariant Curvature Energies in Dimension 4
by: Bernard, Yann, et al.
Published: (2025)

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in $\mathbb{R}^3$
by: Matinpour, Elham
Published: (2025)

Complete minimal hypersurfaces in $\mathbb H^5$ with constant scalar curvature and zero Gauss-Kronecker curvature
by: Cui, Qing, et al.
Published: (2025)

Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs $SU(2)$ Monopoles
by: Rivière, Tristan
Published: (2026)

Minimal surfaces with rapid area growth
by: Colding, Tobias Holck, et al.
Published: (2026)

On the Gauss map assignment for minimal surfaces and the Osserman curvature estimate
by: Alarcon, Antonio, et al.
Published: (2024)

Behavior of Gauss curvatures and mean curvatures of Lightcone framed surfaces in the Lorentz-Minkowski 3-space
by: Xu, Chang, et al.
Published: (2025)

The equations of Gauss, Codazzi and Ricci of surfaces in 4-dimensional space forms
by: Ando, Naoya
Published: (2025)

Dihedralization of Minimal Surfaces in $\mathbb{R}^3$
by: Yol, Ramazan
Published: (2021)

Some Classifications for Gauss Map of Tubular Hypersurfaces in $\mathbb{E}^{4}_{1}$ Concerning Linearized Operators $\mathcal{L}_{k}$
by: Kazan, Ahmet, et al.
Published: (2024)

On FKM isoparametric hypersurfaces in $\mathbb{S}^n \times \mathbb{S}^n$ and new area-minimizing cones
by: Cui, Hongbin
Published: (2025)

Minimal surfaces and CPE metric
by: Leandro, Benedito
Published: (2022)

The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces
by: Collins, Tristan C., et al.
Published: (2020)

Gluing instantons à la Brezis-Coron in dimension four and the dipole construction
by: Martinazzi, Luca, et al.
Published: (2024)

A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$
by: Stryker, Douglas
Published: (2026)

Minimal surfaces with closed curvature lines
by: Cardona, Carlos Andrés Toro
Published: (2026)

Genus one $H$-surfaces with $k$-ends in $\mathbb{H}^2\times\mathbb{R}$
by: Castro-Infantes, Jesús, et al.
Published: (2023)

Classification results for totally real surfaces of nearly Kähler $\mathbb{C}P^3$
by: Liefsoens, Michaël, et al.
Published: (2025)

Boundary regularity of optimal transport maps on convex domains
by: Collins, Tristan C., et al.
Published: (2025)

A correspondence between genus one minimal Lawson surfaces of $\mathbb{S}^3(2)$ and area-minimizing unit vector fields on the antipodally punctured unit 2-sphere
by: Brito, Fabiano, et al.
Published: (2025)

Free Boundary Plateau Model Cones in $\mathbb{B}^n$ are Rigid under Conformal Minimal Immersions
by: Matinpour, Elham
Published: (2026)

Basic invariants for time-like surfaces in $\mathbb R^3_1$ with real asymptotic lines
by: Kassabov, Ognian
Published: (2026)

A view-parametric extension of the d'Ocagne formula for a surface in $\mathbb{R}^3$
by: Anjyo, Ken, et al.
Published: (2023)