Conformal Killing forms on Riemannian manifolds
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0206117,
title = {Conformal Killing forms on Riemannian manifolds},
author = {U. Semmelmann},
journal= {arXiv preprint arXiv:math/0206117},
year = {2007}
}
Comments
24 pages