arXiv (All)
open access
Constant Rank Theorems under Intermediate Ricci Curvature
We prove two constant rank theorems for the Ricci tensor in two geometric settings: manifolds with harmonic curvature and gradient Ricci solitons. In both cases, if the $k$-intermediate Ricci curvature satisfies $\Ric_k\geq0$ for some $1\leq k\leq n-2$, then the Ricci tensor has constant rank and it
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
- The Ricci tensor of a gradient Ricci soliton with harmonic Weyl tensor#1232623
- Rigidity of Kähler-Ricci Solitons with Constant Scalar Curvature#1249215
- Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein#1049369
- A proof of the Cartan-Hadamard conjecture for small volumes under a Ricci curvature lower bound#1194106
- Uniruledness and the sign of total scalar curvature#1062527
Record · ID 1342901
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