Gravitational instantons with faster than quadratic curvature decay (III)

Gao Chen; Xiuxiong Chen

doi:10.1007/s00208-020-01984-9

Gravitational instantons with faster than quadratic curvature decay (III)

Gao Chen
, Xiuxiong Chen

Mathematics

University of Wisconsin-Madison

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

22 Scopus citations

Abstract

This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Tian–Yau–Hein’s construction slightly and show that it is the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.

Original language	English
Pages (from-to)	687-717
Number of pages	31
Journal	Mathematische Annalen
Volume	380
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-020-01984-9
State	Published - Jun 2021

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title = "Gravitational instantons with faster than quadratic curvature decay (III)",

abstract = "This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Tian–Yau–Hein{\textquoteright}s construction slightly and show that it is the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.",

author = "Gao Chen and Xiuxiong Chen",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = jun,

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AU - Chen, Gao

AU - Chen, Xiuxiong

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N2 - This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Tian–Yau–Hein’s construction slightly and show that it is the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.

AB - This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Tian–Yau–Hein’s construction slightly and show that it is the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.

UR - https://www.scopus.com/pages/publications/85082948397

U2 - 10.1007/s00208-020-01984-9

DO - 10.1007/s00208-020-01984-9

M3 - Article

AN - SCOPUS:85082948397

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VL - 380

SP - 687

EP - 717

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

Gravitational instantons with faster than quadratic curvature decay (III)

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