On Einstein four-manifolds with S1-actions

被引：0

作者：

Harish Seshadri

机构：

[1] SUNY at Stony Brook,Department of Mathematics

[2] University of Oregon,Department of Mathematics

来源：

Mathematische Zeitschrift | 2004年 / 247卷

关键词：

Minimal Surface; Geometric Condition; Warped Product; Natural Geometric Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study closed Einstein 4-manifolds which admit S1 actions of a certain type, i.e., warped products. In particular, we classify them up to isometry when the fixed point of the S1 action satisfies certain natural geometric conditions. The proof uses the Bochner-Weitzenböck formula for 1-forms and the theory of minimal surfaces in 3-manifolds.

引用

页码：487 / 503

页数：16

共 50 条

[1] On Einstein four-manifolds with S1-actions
Seshadri, H
[J]. MATHEMATISCHE ZEITSCHRIFT, 2004, 247 (03) : 487 - 503
[2] On Einstein four-manifolds
de Araujo Costa, É
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2004, 51 (02) : 244 - 255
[3] S1-actions on highly connected manifolds
Dessai, Anand
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (11) : 2231 - 2236
[4] Selfdual Einstein Hermitian Four-Manifolds
Apostolov, Vestislav
Gauduchon, Paul
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2002, 1 (01) : 203 - 243
[5] Einstein four-manifolds with skew torsion
Ferreira, Ana Cristina
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (12) : 2341 - 2351
[6] FOUR-MANIFOLDS WITHOUT EINSTEIN METRICS
LeBrun, Claude
[J]. MATHEMATICAL RESEARCH LETTERS, 1996, 3 (02) : 133 - 147
[7] Kählerity of Einstein four-manifolds
Li, Xiaolong
Zhang, Yongjia
[J]. MATHEMATISCHE ZEITSCHRIFT, 2024, 307 (01)
[8] Curvature decompositions on Einstein four-manifolds
Wu, Peng
[J]. NEW YORK JOURNAL OF MATHEMATICS, 2017, 23 : 1739 - 1749
[9] LOCAL S1-ACTIONS ON 3-MANIFOLDS
FINTUSHEL, R
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1976, 66 (01) : 111 - 118
[10] Circle actions on symplectic four-manifolds
Holm, Tara S.
Kessler, Liat
[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2019, 27 (02) : 421 - 464

← 1 2 3 4 5 →