Twistor Forms on Riemannian Products

Abstract

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.

5 pages

References in corpus (2)

• Killing Forms on Symmetric Spaces
• Killing forms on Quaternion-Kähler manifolds

Cited by in corpus (6)

• Kählerian Twistor Spinors
• Conformally related Riemannian metrics with non-generic holonomy
• Weyl-Einstein structures on K-contact manifolds
• Transformations of locally conformally Kähler manifolds
• Higher degree Killing forms on $2-$step nilmanifolds
• On decomposable LCP structures