arXiv (All)
open access
A special concavity property for positive Hessian quotient operators
We establish a special concavity property for positive Hessian quotient operators $\frac{σ_n(W)}{σ_{n-k}(W)}, \ 1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds.
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
- Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n#1048401
- Sharp Poincaré interpolation along Wasserstein geodesics#820548
- The sharp $σ_k$-curvature inequality on locally conformally flat manifolds in quantitative form#1034205
- Interior Hessian estimates for the quadratic Hessian equation#974559
- Majorization Inequalities from Logarithmic Convexity#1076874
Record · ID 927163
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