Spinorial description of SU(3)- and G2-manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:98

Article

Agricola, Ilka¹  Chiossi, Simon G.²  Friedrich, Thomas³  Hoell, Jos¹ 

[1] Univ Marburg, Fachbereich Math & Informat, D-35032 Marburg, Germany

[2] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, BA, Brazil

[3] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

关键词: Spinor;    SU(3)-structure;    G(2)-structure;    Intrinsic torsion;    Characteristic connection;    Killing spinor with torsion;   

DOI  :  10.1016/j.geomphys.2015.08.023

来源: Elsevier

【 摘 要 】

We present a uniform description of SU(3)-structures in dimension 6 as well as G(2)-structures in dimension 7 in terms of a characterising spinor and the spinorial field equations it satisfies. We apply the results to hypersurface theory to obtain new embedding theorems, and give a general recipe for building conical manifolds. The approach also enables one to subsume all variations of the notion of a Killing spinor. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free