Gravitational instantons with faster than quadratic curvature decay (II)

被引：12

作者：

Chen, Gao ^{[1
]}

Chen, Xiuxiong ^{[1
]}

机构：

[1] SUNY Stony Brook, Math Dept, 100 Nicolls Rd, Stony Brook, NY 11790 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2019年 / 756卷

基金：

美国国家科学基金会;

关键词：

GEOMETRIC LANGLANDS; HYPERKAHLER METRICS; ALE SPACES; CONSTRUCTION; DUALITY;

D O I：

10.1515/crelle-2017-0026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is our second paper in a series to study gravitational instantons, i.e. complete hyperkahler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems: (i) The asymptotic rate of gravitational instantons to the standard models can be improved automatically. (ii) Any ALF-D-k gravitational instanton must be the Cherkis-Hitchin-Ivanov-Kapustin-Lindstrom-Rocek metric.

引用

页码：259 / 284

页数：26

共 50 条

[1] Gravitational instantons with faster than quadratic curvature decay (III)
Gao Chen
Xiuxiong Chen
[J]. Mathematische Annalen, 2021, 380 : 687 - 717
[2] Gravitational instantons with faster than quadratic curvature decay (III)
Chen, Gao
Chen, Xiuxiong
[J]. MATHEMATISCHE ANNALEN, 2021, 380 (1-2) : 687 - 717
[3] Gravitational instantons with faster than quadratic curvature decay. I
Chen, Gao
Chen, Xiuxiong
[J]. ACTA MATHEMATICA, 2021, 227 (02) : 263 - 307
[4] COMPLETE KAHLER MANIFOLDS WITH NON-POSITIVE CURVATURE OF FASTER THAN QUADRATIC DECAY
SIU, YT
YAU, ST
[J]. ANNALS OF MATHEMATICS, 1977, 105 (02) : 225 - 264
[5] Gravitational instantons of constant curvature
Ratcliffe, JG
Tschantz, ST
[J]. CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (09) : 2613 - 2627
[6] Electromagnetic resolution of curvature and gravitational instantons
Dadhich, NK
Marathe, KB
Martucci, G
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1999, 114 (07): : 793 - 806
[7] Gravitational instantons with quadratic volume growth
Chen, Gao
Viaclovsky, Jeff
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2024, 109 (04):
[8] On manifolds with quadratic curvature decay
Yeganefar, Nader
[J]. COMPOSITIO MATHEMATICA, 2009, 145 (02) : 528 - 540
[9] Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry
Biquard, Olivier
Gauduchon, Paul
LeBrun, Claude
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024,
[10] Gravitational energy in quadratic-curvature gravities
Deser, S
Tekin, B
[J]. PHYSICAL REVIEW LETTERS, 2002, 89 (10)

← 1 2 3 4 5 →