EXISTENCE OF COMPATIBLE CONTACT STRUCTURES ON G2-MANIFOLDS

被引：1

作者：

Arikan, M. Firat ^{[1
,2
]}

Cho, Hyunjoo ^{[1
]}

Salur, Sema ^{[1
]}

机构：

[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA

[2] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

ASIAN JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 02期

关键词：

(Almost) contact structures; G(2) structures; METRICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show the existence of (co-oriented) contact structures on certain classes of G(2)-manifolds, and that these two structures are compatible in certain ways. Moreover, we prove that any seven-manifold with a spin structure (and so any manifold with G(2)-structure) admits an almost contact structure. We also construct explicit almost contact metric structures on manifolds with G(2)-structures.

引用

页码：321 / 333

页数：13

共 13 条

[1]

Blair D. E., 1976, CONTACT MANIFOLDS RI

[2] ON THE CONSTRUCTION OF SOME COMPLETE METRICS WITH EXCEPTIONAL HOLONOMY [J].