PreprintCC BY-NC 4.0HAL
Three-orbifolds, positive scalar curvature and fundamental group
Abstract
We show that closed Riemannian 3-orbifolds with positive scalar curvature have virtually free fundamental group. We also build a family of closed 3-orbifolds with free fundamental group of rank 2 which do not admit Riemannian metrics of positive scalar curvature.
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BibTeX
@misc{bessieres2026threeorbifolds,
title = {{Three-orbifolds, positive scalar curvature and fundamental group}},
author = {Laurent Bessières and Sylvain Maillot and Ilaria Mondello and Thomas Richard},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2610.31279},
eprint = {2610.31279},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05750664v1},
note = {CC BY-NC 4.0},
}
RIS
TY - UNPB
TI - Three-orbifolds, positive scalar curvature and fundamental group
AU - Laurent Bessières
AU - Sylvain Maillot
AU - Ilaria Mondello
AU - Thomas Richard
PY - 2026
DA - 2026/09/15
PB - HAL
DO - 10.48550/arxiv.2610.31279
UR - https://hal.science/hal-05750664v1
AB - We show that closed Riemannian 3-orbifolds with positive scalar curvature have virtually free fundamental group. We also build a family of closed 3-orbifolds with free fundamental group of rank 2 which do not admit Riemannian metrics of positive scalar curvature.
ER -