Cover Image

Holomorphicity of stable minimal surfaces of low genus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sagman, Nathaniel, Thalmaier, Thomas-René
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Unstable minimal surfaces in symmetric spaces of non-compact type
by: Sagman, Nathaniel, et al.
Published: (2022)

Minimal diffeomorphisms with $L^1$ Hopf differentials
by: Sagman, Nathaniel
Published: (2023)

Almost strict domination and anti-de Sitter 3-manifolds
by: Sagman, Nathaniel
Published: (2021)

On Hitchin's equations for cyclic G-Higgs bundles
by: Sagman, Nathaniel, et al.
Published: (2024)

Local asymptotics for Hitchin's equations and high energy harmonic maps
by: Sagman, Nathaniel, et al.
Published: (2025)

Holomorphic dependence for the Beltrami equation in Sobolev spaces
by: Emam, Christian El, et al.
Published: (2024)

Domination between non-Fuchsian representations and anti-de Sitter geometry
by: Diaf, Farid, et al.
Published: (2025)

Tangential limits of stable minimal capillary surfaces
by: Eichmair, Michael, et al.
Published: (2026)

$L^p$-Boundedness of the Covariant Riesz Transform on Differential Forms for $p>2$
by: Cheng, Li-Juan, et al.
Published: (2025)

Holomorphicity of parabolic stable minimal surfaces of high codimension
by: Cheng, Da Rong, et al.
Published: (2025)

The sharp diameter bound of stable minimal surfaces
by: Hu, Qixuan, et al.
Published: (2024)

Holomorphic projective connections on surfaces and osculating spaces
by: Wone, Oumar
Published: (2024)

A new family of minimal surfaces of even genus in the three-dimensional sphere
by: Schulz, Mario B., et al.
Published: (2025)

Free boundary and capillary minimal surfaces in spherical caps I: Low genus
by: Naff, Keaton, et al.
Published: (2025)

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

Compatibility of Goldman's symplectic form with the complex structure on the $\mathrm{SL}(3,\mathbb R)$ Hitchin component
by: Emam, Christian El, et al.
Published: (2024)

Holomorphic Lie algebroid connections on holomorphic principal bundles on compact Riemann surfaces
by: Biswas, Indranil
Published: (2025)

A Holomorphic Splitting Theorem
by: Song, Miao
Published: (2025)

The Schwarzian derivative and the degree of a classical minimal surface
by: Mettler, Thomas, et al.
Published: (2023)

Holomorphic foliations with no transversely projective structure
by: Biswas, Indranil, et al.
Published: (2024)

Some estimates on stable minimal hypersurfaces in Euclidean space
by: Tam, Luen-Fai
Published: (2024)

On the topology of stable minimal hypersurfaces in a homeomorphic $S^4$
by: Li, Chao, et al.
Published: (2025)

Complex affine spheres and a Bers theorem for SL(3,C)
by: Emam, Christian El, et al.
Published: (2024)

Para-Holomorphic Algebroids and Para-Complex Connections
by: Patterson, Aidan
Published: (2025)

Holomorphic geometric structures on Oeljeklaus-Toma manifolds
by: Biswas, Indranil, et al.
Published: (2024)

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)

Complete stable minimal hypersurfaces in positively curved 4-manifolds
by: Chodosh, Otis, et al.
Published: (2022)

Analytic Linearization and Holomorphic Extensions of Proper Groupoids
by: Fernandes, Rui Loja, et al.
Published: (2025)

Complete minimal surfaces with Cantor ends in minimally convex domains
by: Alarcon, Antonio
Published: (2024)

Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
by: Chen, Xiaojun, et al.
Published: (2022)

Complex harmonic maps and rank 2 higher Teichmüller theory
by: Emam, Christian El, et al.
Published: (2025)

Min-max theory and minimal surfaces with prescribed genus
by: Chu, Adrian Chun-Pong, et al.
Published: (2025)

Higher-Degree Holomorphic Contact Structures
by: Kasuya, Hisashi, et al.
Published: (2025)

Properties of Holomorphic $p$-Contact Manifolds
by: Kasuya, Hisashi, et al.
Published: (2025)

Higgs bundle, isomonodromic leaves and minimal surfaces
by: Collier, Brian, et al.
Published: (2025)

Complete two-sided $δ$-stable minimal hypersurfaces in $\mathbf R^{n+1}$
by: Cheng, Qing-Ming, et al.
Published: (2025)

On the Index of Fraser-Sargent-type minimal surfaces
by: Medvedev, Vladimir, et al.
Published: (2022)

Morse index of y-singular minimal surfaces
by: Matinpour, Elham
Published: (2024)

Blow-ups of minimal surfaces in the Heisenberg group
by: Yu, Yonghao
Published: (2024)

Holomorphic $p$-Contact and $s$-Symplectic Line Bundles
by: Broder, Kyle, et al.
Published: (2025)