Ambient metrics with exceptional holonomy

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2012-01-01 DOI:10.2422/2036-2145.201003_009

T. Leistner, P. Nurowski

引用次数: 17

Abstract

We present conformal structures in signature (3, 2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G2(2). We write down the resulting 8-parameter family of G2(2)-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.

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具有特殊完整性的环境参数

我们在(3,2)中给出了Fefferman-Graham环境度量的完备性等于非紧的例外李群G2(2)的共形结构。我们在环境空间上适当选择的坐标系中明确地写下了得到的7维G2(2)-度量的8参数族。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24