A Compactness Theorem for Locally Conformally Flat Riemannian Manifolds
In this paper, we prove that if a complete locally conformally flat Riemannian manifold with positive Yamabe invariant has a positive lower bound on its scalar curvature, an upper bound on its Ricci curvature, and the Lq norm (q⩾2) of the traceless Ricci curvature is finite, then it is compact.
Authors
- Shunjuan Cao
Institutions
- University of Science and Technology of China (CN)
- Zhejiang A & F University (CN)
- Agriculture and Forestry University (NP)
- Jiyang College of Zhejiang A&F University (CN)
Publication Details
- Journal
- Axioms
- Published
- 2026-07-28
- DOI
- https://doi.org/10.3390/axioms15080560
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00