arXiv (All)
open access
Catenoid-sharp index-topology estimates for minimal hypersurfaces
We show that for an embedded two-sided minimal hypersurface in $\mathbb{R}^N$, there is a lower bound for the index in terms of the first Betti number and the number of ends, using ideas from the recent work of Chodosh--Gianocca. This estimate is sharp for the higher-dimensional catenoid. We also ob
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
- Regularity of stable capillary minimal hypersurfaces#630013
- Regularity of stable capillary minimal hypersurfaces#628151
- Regularity of branched stable minimal immersed hypersurfaces#820580
- Morse index, topology, and ends of minimal surfaces with noncompact free boundary#1077650
- A new degenerated second main theorem for meromorphic mappings with hypersurfaces#1123530
Record · ID 926345
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