Abstract
We consider the Calabi–Yau metrics on Cn constructed recently by Yang Li, Conlon–Rochon, and the author, that have tangent cone C× A1 at infinity for the (n- 1) -dimensional Stenzel cone A1. We show that up to scaling and isometry this Calabi–Yau metric on Cn is unique. We also discuss possible generalizations to other manifolds and tangent cones.
Original language | English (US) |
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Pages (from-to) | 1152-1182 |
Number of pages | 31 |
Journal | Geometric and Functional Analysis |
Volume | 30 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2020 |
Funding
The author is supported in part by NSF Grants DMS-1350696 and DMS-1906216
ASJC Scopus subject areas
- Analysis
- Geometry and Topology