A UNIQUENESS THEOREM FOR ASYMPTOTICALLY CYLINDRICAL SHRINKING RICCI SOLITONS

Brett Kotschwar; Lu Wang

doi:10.4310/jdg/1707767338

A UNIQUENESS THEOREM FOR ASYMPTOTICALLY CYLINDRICAL SHRINKING RICCI SOLITONS

Brett Kotschwar, Lu Wang

Mathematical and Statistical Sciences, School of (SoMSS)

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

Abstract

We prove that a shrinking gradient Ricci soliton which agrees to infinite order at spatial infinity with one of the standard cylinders S^k × R^n−k for k ≥ 2 along some end must be isometric to the cylinder on that end. When the underlying manifold is complete, it must be globally isometric either to the cylinder or (when k = n − 1) to its Z₂-quotient.

Original language	English (US)
Pages (from-to)	215-295
Number of pages	81
Journal	Journal of Differential Geometry
Volume	126
Issue number	1
DOIs	https://doi.org/10.4310/jdg/1707767338
State	Published - Jan 2024

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1707767338

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author = "Brett Kotschwar and Lu Wang",

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A UNIQUENESS THEOREM FOR ASYMPTOTICALLY CYLINDRICAL SHRINKING RICCI SOLITONS

Abstract

ASJC Scopus subject areas

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