Cover Image

Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fiorani, Francesco, Mondino, Andrea, Semola, Daniele
Format:	Preprint
Published:	2023
Subjects:	Differential Geometry Metric Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gromov-Hausdorff and intrinsic flat convergence of RCD(K,N) and Kato spaces
by: Mondino, Andrea, et al.
Published: (2026)

Half Space Property in RCD(K,N) spaces
by: Cucinotta, Alessandro, et al.
Published: (2024)

Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability
by: Kristály, Alexandru, et al.
Published: (2024)

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
by: Antonelli, Gioacchino, et al.
Published: (2024)

Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds
by: Antonelli, Gioacchino, et al.
Published: (2022)

On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound
by: Cucinotta, Alessandro, et al.
Published: (2024)

The large scale structure of complete $4$-manifolds with nonnegative Ricci curvature and Euclidean volume growth
by: Semola, Daniele
Published: (2025)

Spectral distances on RCD spaces
by: Honda, Shouhei
Published: (2023)

Locally homogeneous RCD spaces
by: Honda, Shouhei, et al.
Published: (2024)

On the rectifiability of $\mathsf{CD}(K,N)$ and $\mathsf{MCP}(K,N)$ spaces with unique tangents
by: Magnabosco, Mattia, et al.
Published: (2025)

From almost smooth spaces to RCD spaces
by: Honda, Shouhei, et al.
Published: (2025)

On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{th}$-scalar curvature
by: Cucinotta, Alessandro, et al.
Published: (2025)

Gap phenomena under curvature restrictions
by: Honda, Shouhei, et al.
Published: (2024)

On the equivalence of distributional and synthetic Ricci curvature lower bounds
by: Mondino, Andrea, et al.
Published: (2024)

Margulis Lemma on $\text{RCD}(K,N)$ spaces
by: Deng, Qin, et al.
Published: (2023)

A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds
by: Cavalletti, Fabio, et al.
Published: (2024)

On the non-collapsed RCD spaces with local bounded covering geometry
by: Wang, Jikang
Published: (2024)

New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
by: Cucinotta, Alessandro, et al.
Published: (2026)

Isometric immersions of RCD$(K,N)$ spaces via heat kernels
by: Huang, Zhangkai
Published: (2022)

A Talenti-type comparison theorem for the $p$-Laplacian on $\mathrm{RCD}(K,N)$ spaces and some applications
by: Wu, Wenjing
Published: (2024)

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
by: Cavalletti, Fabio, et al.
Published: (2020)

Compact harmonic RCD$(K, N)$ spaces are harmonic manifolds
by: Huang, Zhangkai
Published: (2024)

Nonexistence of isoperimetric sets in spaces of positive curvature
by: Antonelli, Gioacchino, et al.
Published: (2023)

Singular sets on spaces with integral curvature bounds and diffeomorphism finiteness for manifolds
by: Qian, Xin
Published: (2023)

Monotonicity of the deficit in the local log-Brunn-Minkowski inequality
by: Wang, Shouda
Published: (2025)

One-phase Free Boundary Problems on RCD Metric Measure Spaces
by: Chan, Chung-Kwong, et al.
Published: (2021)

Not all sub-Riemannian minimizing geodesics are smooth
by: Chitour, Yacine, et al.
Published: (2025)

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

Remarks on Lipschitz geometry on globally conic singular manifolds
by: Costa, André, et al.
Published: (2024)

The Michor-Mumford conjecture in Hilbertian H-type groups
by: Magnani, Valentino, et al.
Published: (2024)

Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
by: Rossi, Tommaso, et al.
Published: (2026)

Submanifolds of class $C^{1,α}$ and sets with positive $μ$-reach
by: Borrelli, Vincent, et al.
Published: (2026)

Glued spaces and lower curvature bounds
by: Ketterer, Christian
Published: (2024)

Examples of Ricci limit spaces with infinite holes
by: Zhou, Shengxuan
Published: (2024)

New exotic examples of Ricci limit spaces
by: Li, Xilun, et al.
Published: (2024)

Synthetic notions of Ricci flow for metric measure spaces
by: Erbar, Matthias, et al.
Published: (2025)

Cheng's eigenvalue comparison on metric measure spaces and applications
by: De Luca, G. Bruno, et al.
Published: (2025)

CAT(0) spaces quasi-isometric to Euclidean spaces
by: Cavallucci, Nicola, et al.
Published: (2026)

Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
by: Antonelli, Gioacchino, et al.
Published: (2023)

Rigidity and regularity for almost homogeneous spaces with Ricci curvature bounds
by: Qian, Xin
Published: (2024)