Cover Image

The Coupled Hitchin-He Equations: Integrable Deformations and Rigidity of the Moduli Space

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	He, Haoran, He, Qichen
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry 53C07, 14D21, 35J50, 37K10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Moduli Spaces of the Basic Hitchin Equation on Sasakian Threefolds
by: Ono, Takashi
Published: (2024)

Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section
by: Fujioka, Hitoshi
Published: (2024)

The Algebraic and Analytic Compactifications of the Hitchin Moduli Space
by: He, Siqi, et al.
Published: (2023)

Research problems on relations between Nijenhuis geometry and integrable systems
by: Bolsinov, Alexey V., et al.
Published: (2024)

Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs
by: Bolsinov, Alexey V., et al.
Published: (2024)

Integrable systems in cosymplectic geometry
by: Jovanovic, Bozidar, et al.
Published: (2022)

Generic mean curvature flows with cylindrical singularities I: the normal forms and nondegeneracy
by: Sun, Ao, et al.
Published: (2022)

Generic regularity of Level Set Flows with spherical singularity
by: Sun, Ao, et al.
Published: (2022)

Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles
by: Mochizuki, Takuro
Published: (2023)

Ricci curvature for hydrodynamics on the sphere
by: Lichtenfelz, Leandro, et al.
Published: (2025)

Comparison of the Hitchin metric and the semi-flat metric in the rank two case
by: Mochizuki, Takuro
Published: (2024)

A Bianchi-Calo method for Bryant type surfaces
by: Burstall, F. E., et al.
Published: (2026)

A Novel Geometric Realization of the Yajima-Oikawa Equations
by: Calini, Annalisa, et al.
Published: (2024)

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation
by: Delloque, Rémi
Published: (2025)

Harmonic metrics of $\mathrm{SO}_{0}(n,n)$-Higgs bundles in the Hitchin section on non-compact hyperbolic surfaces
by: Ma, Weihan
Published: (2024)

Solutions to Open WDVV Equations for the Universal Whitham Hierarchy
by: Ma, Shilin
Published: (2025)

Integrability of homogeneous exact magnetic flows on spheres
by: Dragovic, Vladimir, et al.
Published: (2025)

mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
by: Calini, Annalisa, et al.
Published: (2023)

Maximal symplectic torus actions
by: Henigman, Rei
Published: (2024)

Rigidity of ancient ovals in higher dimensional mean curvature flow
by: Choi, Beomjun, et al.
Published: (2025)

Principal twistor models and asymptotic hyperkähler metrics
by: Kotani, Ryota
Published: (2026)

Entire hypersurfaces of constant scalar curvature in Minkowski space
by: Bayard, Pierre, et al.
Published: (2024)

Open enumerative geometries for Landau-Ginzburg models
by: Gross, Mark, et al.
Published: (2026)

Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities
by: Ding, Shanwei, et al.
Published: (2024)

The inverse curve shortening flow on the hyperbolic plane
by: Krznarić, Ivan, et al.
Published: (2026)

On cutoff via rigidity for high dimensional curved diffusions
by: Chafaï, Djalil, et al.
Published: (2024)

Contact triad connection of contact manifolds in almost contact moving frame
by: Oh, Yong-Geun
Published: (2025)

Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
by: Bisterzo, Andrea, et al.
Published: (2025)

The regularity and products in contact geometry
by: Grabowska, Katarzyna, et al.
Published: (2024)

Hyperbolic contact symplectic lifts
by: Bracci, Filippo, et al.
Published: (2025)

Bottom Spectrum Estimate Under Curvature Integrability Condition
by: Durham, Cole
Published: (2025)

Channel linear Weingarten surfaces in space forms
by: Hertrich-Jeromin, Udo, et al.
Published: (2021)

On holomorphic conformal structures associated with lattice polarized K3 surfaces
by: Malmendier, Andreas, et al.
Published: (2024)

Orthogonal separation of variables for spaces of constant curvature
by: Bolsinov, Alexey V., et al.
Published: (2022)

Cosymplectic Chern--Hamilton conjecture
by: Dyhr, Søren, et al.
Published: (2025)

Symplectic excision
by: Karshon, Yael, et al.
Published: (2021)

On the local maximizers of higher capacity ratios
by: Baracco, Luca, et al.
Published: (2023)

Algebraic structures in Lagrangian Floer cohomology modelled on differential forms
by: Bar-Lev, Peleg
Published: (2024)

On Globalization Problem of Multi-Hamiltonian Formalisms
by: Ateşli, Begüm, et al.
Published: (2026)

Some topics in Sasakian geometry, a survey
by: Tralle, Aleksy
Published: (2023)