arXiv (All)
open access
Kähler-Finsler rigidity of the Kobayashi metric and the Kähler base of weakly Kähler-Finsler metrics
In this paper, we establish a rigidity theorem: for every balanced, smooth, bounded pseudoconvex domain, its Kobayashi metric is a smooth, strongly pseudoconvex, Kähler-Finsler metric restricted on a neighborhood of the origin if and only if the domain is a Hermitian ellipsoid, biholomorphic to the
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
- Rigidity of complete Kähler--Einstein metrics under cscK perturbations#1218339
- Compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature#1061507
- Existence and uniqueness of conformal Gauduchon metrics#1343060
- Topological and spectral rigidity of hypersurface Zoll manifolds#1034489
- Upper bound preservation of the total scalar curvature in a conformal class#1104801
Record · ID 1401081
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