Uniqueness of some Calabi–Yau metrics on Cn

Gábor Székelyhidi

doi:10.1007/s00039-020-00543-3

Uniqueness of some Calabi–Yau metrics on Cⁿ

Gábor Székelyhidi^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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)
Pages (from-to)	1152-1182
Number of pages	31
Journal	Geometric and Functional Analysis
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/s00039-020-00543-3
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

Access to Document

10.1007/s00039-020-00543-3

Cite this

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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.",

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note = "Funding Information: The author is supported in part by NSF Grants DMS-1350696 and DMS-1906216 Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

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