Glued spaces and lower curvature bounds
Differential Geometry
2024-08-26 v1 Metric Geometry
Abstract
In this short note we survey theorems and provide conjectures on gluing constructions under lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower Ricci curvature bounds we consider Riemannian manifolds, weighted Riemannian manifolds, Alexandrov spaces, collapsed and non-collapsed spaces, and sub-Riemannian spaces.
Cite
@article{arxiv.2408.13137,
title = {Glued spaces and lower curvature bounds},
author = {Christian Ketterer},
journal= {arXiv preprint arXiv:2408.13137},
year = {2024}
}
Comments
19 pages