Twistor Forms on Kaehler Manifolds

Details Twistor Forms on Kaehler Manifolds Twistor Forms on Kaehler Manifolds

2002-04-26

arxiv.org/abs/math/0204322v1

Ann. Sc. Norm. Super. Pisa Cl. Sci. 2 (2003), 823-845

Mathematics

Differential Geometry

20 pages, latex2e

Scientific paper

Twistor forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We study twistor forms on compact Kaehler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to Hamiltonian 2-forms. This provides the first examples of compact Kaehler manifolds with non-parallel twistor forms in any even degree.

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