Positive Einstein metrics with S4m+3 as the principal orbit

Hanci Chi

doi:10.1112/S0010437X24007073

Positive Einstein metrics with S^4m+3 as the principal orbit

Hanci Chi^*

^*Corresponding author for this work

Department of Foundational Mathematics

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

Abstract

We prove that there exists at least one positive Einstein metric on HP^m⁺¹∦HP^m+1 for m ≥ 2. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on HP^m⁺¹∦HP^m⁺¹.

Original language	English
Pages (from-to)	1004-1040
Number of pages	37
Journal	Compositio Mathematica
Volume	160
Issue number	5
DOIs	https://doi.org/10.1112/S0010437X24007073
Publication status	Published - 8 Apr 2024

Keywords

cohomogeneity-one metric
Einstein metric

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10.1112/S0010437X24007073

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title = "Positive Einstein metrics with S4m+3 as the principal orbit",

abstract = "We prove that there exists at least one positive Einstein metric on HPm+1∦HPm+1 for m ≥ 2. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on HPm+1∦HPm+1.",

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AB - We prove that there exists at least one positive Einstein metric on HPm+1∦HPm+1 for m ≥ 2. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on HPm+1∦HPm+1.

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Positive Einstein metrics with S^4m+3 as the principal orbit

Abstract

Keywords

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