PreprintarXiv licencearXiv
Lower curvature bounds on metric surfaces via the Bishop--Gromov inequality
Abstract
We characterize lower curvature bounds on metric surfaces by the Bishop--Gromov inequality for metric balls.
Related
- The trapezoid comparison inequality in metric spaces with curvature bounded above
- Macroscopic scalar curvature bounds on surfaces
- Orientability of metric manifolds and metric spaces with curvature bounds
- Finite-Sample Bounds for Fréchet Means of Dependent Data in Metric Spaces with Curvature Bounded Above
- Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection
BibTeX
@misc{lytchak2026lower,
title = {{Lower curvature bounds on metric surfaces via the Bishop--Gromov inequality}},
author = {Alexander Lytchak and Stephan Stadler},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02940},
eprint = {2610.02940},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02940},
}
RIS
TY - UNPB
TI - Lower curvature bounds on metric surfaces via the Bishop--Gromov inequality
AU - Alexander Lytchak
AU - Stephan Stadler
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.02940
UR - https://arxiv.org/abs/2610.02940
AB - We characterize lower curvature bounds on metric surfaces by the Bishop--Gromov inequality for metric balls.
ER -