Cover Image

On the sub-Riemannian geometry of the quaternionic Heisenberg group

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kim, Joonhyung, Platis, Ioannis D., Sun, Li-Jie
Format:	Preprint
Published:	2026
Subjects:	Differential Geometry Primary 53C17, Secondary 53C42, 53C26
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Maximal surfaces in the Lorentzian Heisenberg group
by: Brander, David, et al.
Published: (2023)

Curvature of quaternionic skew-Hermitian manifolds and bundle constructions
by: Chrysikos, Ioannis, et al.
Published: (2024)

Duality of zero mean curvature surfaces in the Lorentzian Heisenberg group
by: Mohanty, Sai Rasmi Ranjan, et al.
Published: (2026)

Minimal surfaces in the Riemannian product of surfaces
by: Georgiou, Nikos, et al.
Published: (2024)

Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry $\text{Sol}^4_0$
by: D'haene, Marie, et al.
Published: (2023)

Total curvature of convex hypersurfaces in Cartan-Hadamard manifolds
by: Ghomi, Mohammad, et al.
Published: (2026)

Horizontal curvatures of surfaces in 3D contact sub-Riemannian Lie groups
by: Bubani, Elia, et al.
Published: (2026)

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

Differential geometry of curves in dual space
by: López, Rafael
Published: (2024)

Minimal null scrolls in the three-dimensional Heisenberg group
by: Kiyohara, Hirotaka
Published: (2023)

Approximation of Regular Sasakian Manifolds
by: Placini, Giovanni
Published: (2023)

Non-degenerate anisocurved surfaces in homogeneous 3-manifolds
by: Albujer, Alma L., et al.
Published: (2021)

Biconservative Weingarten surfaces with flat normal bundle in $N^4 (ε)$
by: Andronic, Ştefan, et al.
Published: (2025)

Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
by: Kayhan, Aykut
Published: (2025)

Hypersurfaces of $\mathbb{S}^3 \times \mathbb{R}$ and $\mathbb{H}^3 \times \mathbb{R}$ with constant principal curvatures
by: Manfio, Fernando, et al.
Published: (2024)

Compact spacelike biconservative hypersurfaces in de Sitter space
by: Kayhan, Aykut
Published: (2025)

Rigidity results for compact biconservative hypersurfaces in space forms
by: Andronic, Ştefan, et al.
Published: (2024)

A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds
by: Grong, Erlend, et al.
Published: (2022)

Some splitting and rigidity results for sub-static spaces
by: Colombo, Giulio, et al.
Published: (2024)

Thurston geometries in dimension four from a Riemannian perspective
by: D'haene, Marie
Published: (2024)

Nijenhuis geometry of parallel tensors
by: Derdzinski, Andrzej, et al.
Published: (2024)

Isometric immersions into three-dimensional unimodular metric Lie groups
by: Castro, Ildefonso, et al.
Published: (2025)

Submanifolds of almost quaternionic skew-Hermitian manifolds
by: Chrysikos, Ioannis, 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)

Null hypersurfaces as wave fronts in Lorentz-Minkowski space
by: Akamine, Shintaro, et al.
Published: (2022)

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)

On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
by: Cecil, Thomas E., et al.
Published: (2024)

Spheres with parallel mean curvature in $\mathbb{S}^2 \times \mathbb{H}^2$
by: Stas, Giel, et al.
Published: (2025)

Screw motion surfaces of constant mean curvature in homogeneous 3-manifolds
by: Käse, Philipp
Published: (2022)

Minimal total absolute curvature for equiaffine immersions
by: Yamauchi, Yuta
Published: (2026)

The class of grim reapers in $\mathbb{H}^2\times\mathbb{R}$
by: Bueno, Antonio, et al.
Published: (2024)

Conformal trajectories in 3-dimensional space form
by: Lopez, Rafael, et al.
Published: (2024)

Minimal Lagrangian surfaces in the two dimensional complex quadric via the loop group method
by: Kobayashi, Shimpei, et al.
Published: (2025)

The Classification of Rotationally symmetric hypersurfaces in the Heisenberg groups $H_{n}$
by: Chiu, Hung-Lin, et al.
Published: (2025)

Minimal Lagrangian surfaces in the two-dimensional complex hyperbolic quadric via the loop group method
by: Kobayashi, Shimpei, et al.
Published: (2026)

Maps from Riemannian manifolds into non-degenerate Euclidean cones
by: Mari, Luciano, et al.
Published: (2010)

Lagrangian metric geometry with Riemannian bounds
by: Chassé, Jean-Philippe
Published: (2024)

Variations of metric that preserve a Riemannian submersion and geometry of its fibers
by: Zawadzki, Tomasz
Published: (2024)

Immersions into Sasakian space forms
by: Loi, Andrea, et al.
Published: (2023)

DDVV conjecture for Riemannian maps from quaternionic space forms
by: Gupta, Kirti, et al.
Published: (2025)