arXiv (All)
open access
Upper bound preservation of the total scalar curvature in a conformal class
We show that in an arbitrarily fixed conformal class with non-positive Yamabe constant on a closed manifold, the upper bound of the total scalar curvature is preserved under the $C^{0}$-convergence of metrics provided that the convergent sequence has a uniform Hölder bound. Moreover, if we consider
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
- Torus and Positive Mass stability for metrics with Ricci curvature lower bound#924637
- Torus and Positive Mass stability for metrics with Ricci curvature lower bound#920404
- Rigidity of Einstein Manifolds under Two Eigenvalue Conditions on the Curvature Operator of the Second Kind#1049336
- Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions#924042
- Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions#919813
Record · ID 1104801
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