Conformal Killing forms on Riemannian manifolds

Details Conformal Killing forms on Riemannian manifolds Conformal Killing forms on Riemannian manifolds

2002-06-11

arxiv.org/abs/math/0206117v1

Mathematics

Differential Geometry

24 pages

Scientific paper

Conformal Killing 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 show the existence of conformal Killing forms on nearly Kaehler and weak G_2-manifolds. Moreover, we give a complete description of special conformal Killing forms. A further result is a sharp upper bound on the dimension of the space of conformal Killing forms.

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