Twistor forms on Riemannian products

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Moroianu, Andrei¹  Semmelmann, Uwe² 

[1] Ecole Polytech, CNRS, CMLS, UMR 7640, F-91128 Palaiseau, France

[2] Univ Cologne, Math Inst, D-50931 Cologne, Germany

关键词: Twistor forms;    Killing forms;    Riemannian products;    Conformal vector fields;   

DOI  :  10.1016/j.geomphys.2008.05.007

来源: Elsevier

【 摘 要 】

We study twistor forms on products of compact Riemannian manifolds and show that they are defined by Killing forms on the factors. The main result of this note is a necessary step in the classification of compact Riemannian manifolds with non-generic holonomy carrying twistor forms. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free