Cover Image

Almost isoperimetric extremisers of two subriemannian probability measures

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Qiu, Yaozhong W.
Format:	Preprint
Published:	2025
Subjects:	Metric Geometry 53C17, 49Q20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal transport on the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

Curvature-dimension condition of sub-Riemannian $α$-Grushin half-spaces
by: Borza, Samuël, et al.
Published: (2024)

Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures
by: Borza, Samuël, et al.
Published: (2025)

Another simple proof of the 1-dimensional flat chain conjecture
by: Bouafia, Philippe, et al.
Published: (2026)

Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2026)

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
by: Barilari, Davide, et al.
Published: (2022)

Optimal sets for the quantitative isoperimetric inequality in the plane with the barycentric distance
by: Croce, Gisella, et al.
Published: (2025)

On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry
by: Resende, Reinaldo
Published: (2020)

A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces
by: Pasqualetto, Enrico, et al.
Published: (2025)

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\ell^p$-Heisenberg groups
by: Borza, Samuël, et al.
Published: (2023)

Topological regularity of isoperimetric sets in PI spaces having a deformation property
by: Antonelli, Gioacchino, et al.
Published: (2023)

On the rigidity of Wasserstein contraction along heat flows
by: Li, Zhenhao
Published: (2025)

Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

On low-dimensional uniform rectifiability in Heisenberg groups
by: Fässler, Katrin, et al.
Published: (2026)

Curvature exponent of sub-Finsler Heisenberg groups
by: Borza, Samuël, et al.
Published: (2024)

Gradient flows of $(K,N)$-convex functions with negative $N$
by: Schiavo, Lorenzo Dello, et al.
Published: (2024)

The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
by: Golo, Sebastiano Nicolussi, et al.
Published: (2025)

On weak formulations of (super) Ricci flows
by: Lakzian, Sajjad
Published: (2026)

Area minimizing discs in locally non-compact metric spaces
by: Guo, Chang-Yu, et al.
Published: (2017)

Stability of Convex Spheres
by: Máximo, Davi, et al.
Published: (2023)

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics
by: Kunzinger, Michael, et al.
Published: (2024)

Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces
by: Basso, Giuliano, et al.
Published: (2022)

Synthetic versus distributional lower Ricci curvature bounds
by: Kunzinger, Michael, et al.
Published: (2022)

SBV functions in Carnot-Carathéodory spaces
by: Di Marco, Marco, et al.
Published: (2025)

Stability of optimal transport maps on Riemannian manifolds
by: Kitagawa, Jun, et al.
Published: (2025)

On the lower bound of the curvature exponent on step-two Carnot groups
by: Zhang, Ye
Published: (2025)

Isoperimetric Regions in Anisotropically Scaled Product Manifolds
by: Vernadakis, Efstratios
Published: (2025)

A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
by: Pinamonti, Andrea, et al.
Published: (2023)

Universal Ahlfors--David regularity of Steiner trees
by: Cherkashin, Danila, et al.
Published: (2026)

Generic regularity of isoperimetric regions in dimension eight
by: Marshall-Stevens, Kobe, et al.
Published: (2025)

Comparison estimates on nonsmooth spaces with integrable Ricci lower bounds via localization
by: Caputo, Emanuele, et al.
Published: (2025)

Warped products over one-dimensional base spaces and the RCD condition
by: Ketterer, Christian
Published: (2025)

Isoperimetric minimizing movements and AC curves in $\text{PL}_q^p(\mathbb{R}^n)$
by: Aldrigo, Pietro
Published: (2026)

A refined Lusin type theorem for gradients
by: De Masi, Luigi, et al.
Published: (2024)

A strong quantitative form of the fractional isoperimetric inequality
by: Cinti, Eleonora, et al.
Published: (2025)

Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)

Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces
by: Agnoletto, Marcos, et al.
Published: (2025)

Characterization of metric spaces with a metric fundamental class
by: Marti, Denis, et al.
Published: (2024)

On the Steiner tree connecting a fractal set
by: Paolini, Emanuele, et al.
Published: (2023)

Curvature exponent and geodesic dimension on Sard-regular Carnot groups
by: Golo, Sebastiano Nicolussi, et al.
Published: (2023)