Cover Image

On the lower bound of the curvature exponent on step-two Carnot groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhang, Ye
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Metric Geometry 53C17, 53C23
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

A lower bound for the curvature integral under an upper curvature bound
by: Fujioka, Tadashi
Published: (2023)

Wall singularity of spaces with an upper curvature bound
by: Nagano, Koichi
Published: (2026)

Two-dimensional metric spaces with curvature bounded above I
by: Nagano, Koichi, et al.
Published: (2021)

Extremal subsets in geodesically complete spaces with curvature bounded above
by: Fujioka, Tadashi
Published: (2022)

Noncritical maps on geodesically complete spaces with curvature bounded above
by: Fujioka, Tadashi
Published: (2021)

Precompactness of domains with lower Ricci curvature bound under Gromov-Hausdorff topology
by: Xu, Shicheng
Published: (2023)

Polar Coordinates in Carnot groups II
by: Tyson, Jeremy T.
Published: (2022)

Small separators, upper bounds for $l^\infty$-widths, and systolic geometry
by: Avvakumov, Sergey, et al.
Published: (2024)

Two-dimension vanishing, splitting and positive scalar curvature
by: Zhu, Xingyu
Published: (2023)

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

On curvature bounds in Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2023)

Asymptotics of Riemannian Lie groups with nilpotency step 2
by: Donne, Enrico Le, et al.
Published: (2025)

Non-collapsed eGH convergence and dimension
by: Núñez-Zimbrón, Jesús, et al.
Published: (2025)

Torus covers with controlled volume and diameter
by: Zamora, Sergio
Published: (2025)

1-Uryson width and covers
by: Alpert, Hannah, et al.
Published: (2025)

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

Positive Scalar Curvature Meets Ricci Limit Spaces
by: Wang, Jinmin, et al.
Published: (2022)

Asymptotic geometric regularity of CAT(0) spaces
by: Nagano, Koichi
Published: (2026)

Uniform boundedness on extremal subsets in Alexandrov spaces
by: Fujioka, Tadashi
Published: (2018)

Topological rigidity of small RCD(K,N) spaces with maximal rank
by: Zamora, Sergio, et al.
Published: (2024)

Lipschitz homotopy convergence of Alexandrov spaces II
by: Fujioka, Tadashi, et al.
Published: (2023)

Five-point Toponogov theorem
by: Lebedeva, Nina, et al.
Published: (2022)

Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups
by: Bossio, Tania, et al.
Published: (2024)

On the H-type deviation of step two Carnot groups
by: Nalon, Luca, et al.
Published: (2023)

Busemann and MCP
by: Fujioka, Tadashi, et al.
Published: (2026)

Cohomogeneity one RCD-spaces
by: Corro, Diego, et al.
Published: (2024)

Submetry onto one-dimensional space
by: Sukhorebska, Darya
Published: (2026)

Euler characteristics of collapsing Alexandrov spaces
by: Fujioka, Tadashi
Published: (2022)

The Injectivity Radius of Souls of Alexandrov Spaces
by: Mäder-Baumdicker, Elena, et al.
Published: (2023)

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

Timelike conjugate points in Lorentzian length spaces
by: Grant, James D. E., et al.
Published: (2025)

Lorentz meets Ptolemy
by: Rott, Felix, et al.
Published: (2026)

Comparison and Rigidity Theorems for geodesic curvatures in two dimensional Alexandrov spaces
by: Ma, Le, et al.
Published: (2026)

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces
by: Beran, Tobias, et al.
Published: (2025)

Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function
by: Alattar, Mohammad, et al.
Published: (2025)

Isosystolic inequalities on two-dimensional Finsler tori
by: Balacheff, Florent, et al.
Published: (2022)

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

An invitation to Alexandrov geometry: CAT(0) spaces
by: Alexander, Stephanie, et al.
Published: (2017)