On the Gauss map of equivariant immersions in hyperbolic space

DOI10.1112/topo.12225arXiv2101.07083WikidataQ114077728 ScholiaQ114077728MaRDI QIDQ6096938

Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07083

zbMATH Keywords

Gauss map hyperbolic space equivariant immersion

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Hyperbolic 3-manifolds (57K32)

Related Items (2)

Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces ⋮ On a convexity property of the space of almost Fuchsian immersions

Cites Work

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The Calabi homomorphism, Lagrangian paths and special Lagrangians
Minimal immersions of closed surfaces in hyperbolic three-manifolds
Global smooth geodesic foliations of the hyperbolic space
The asymptotic boundary of a surface imbedded in \(H^ 3\) with nonnegative curvature
A characterization of Weingarten surfaces in hyperbolic 3-space
Quasi-Fuchsian 3-manifolds and metrics on Teichmüller space
On the geometry of spaces of oriented geodesics
The flux homomorphism on closed hyperbolic surfaces and anti-de Sitter three-dimensional geometry
Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
The horospherical Gauss-Bonnet type theorem in hyperbolic space
On the renormalized volume of hyperbolic 3-manifolds
On the space of oriented geodesics of hyperbolic 3-space
Monopoles and geodesics
Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds
Embeddings of Gromov hyperbolic spaces
Maslov class and minimality in Calabi-Yau manifolds
Hypersurfaces in \(H^n\) and the space of its horospheres
Prescribing the Maslov form of Lagrangian immersions
On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\)
A survey on paracomplex geometry
Hypersurfaces in hyperbolic space with support function
Minimal discs in hyperbolic space bounded by a quasicircle at infinity
Evolution of spacelike surfaces in AdS\(_3\) by their Lagrangian angle
Minimal surfaces and particles in 3-manifolds
Weakly horospherically convex hypersurfaces in hyperbolic space
Marginally trapped surfaces in spaces of oriented geodesics
On the geometry of the space of oriented lines of Euclidean space
Domains of discontinuity for almost-Fuchsian groups
On almost-Fuchsian manifolds
Correspondences of hypersurfaces in hyperbolic Poincaré manifolds and conformally invariant PDEs
Lorentzian Kleinian Groups
Non-Negatively Curved Hypersurfaces of Hyperbolic Space and Subharmonic Functions
Global smooth fibrations of ℝ³ by oriented lines
The hyperbolic Gauss map and quasiconformal reflections.
Equivariant maps into Anti-de Sitter space and the symplectic geometry of ℍ²×ℍ²
On Hypersurfaces of Hyperbolic Space Infinitesimally Supported by Horospheres
On area stationary surfaces in the space of oriented geodesics of hyperbolic 3-space
On Immersions of Surfaces into SL(2, ℂ) and Geometric Consequences
Counting minimal surfaces in quasi-Fuchsian three-manifolds
Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces
An Indefinite Kähler Metric on the Space of Oriented Lines
ON THE GEOMETRY OF THE SPACE OF ORIENTED LINES OF THE HYPERBOLIC SPACE

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