The scalar curvature in wedge spaces: existence and obstructions
Differential Geometry
2023-04-19 v2 Analysis of PDEs
Abstract
We study the scalar curvature of incomplete wedge metrics in certain stratified spaces with a single singular stratum (wedge spaces). Building upon several well established technical tools for this category of spaces (the corresponding Yamabe, elliptic and index theories) we provide existence and obstruction results for such metrics under suitable positivity assumptions on the underlying geometry. This is meant to be a follow-up to a previous paper of ours (AGAG, 2022), where the case of spaces with an isolated conical singularity was considered.
Keywords
Cite
@article{arxiv.2301.05047,
title = {The scalar curvature in wedge spaces: existence and obstructions},
author = {Levi Lopes de Lima},
journal= {arXiv preprint arXiv:2301.05047},
year = {2023}
}
Comments
25 pages; minor modifications to improve the presentation; a few references added; submitted version