arXiv (All)
open access
Three-orbifolds, positive scalar curvature and fundamental group
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.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Closed geodesics on compact orbifolds and on noncompact manifolds#792582
- Closed geodesics on compact orbifolds and on noncompact manifolds#788582
- Isospectral and not strongly isospectral spherical space forms with non-cyclic fundamental group#822338
- Locally Conformally Flat Manifolds with Positive Scalar Curvature: Kleinian Groups, Moduli Spaces, and Euclidean Rigidity#924166
- Locally Conformally Flat Manifolds with Positive Scalar Curvature: Kleinian Groups, Moduli Spaces, and Euclidean Rigidity#919935
Record · ID 1424397
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive