Conformal Killing forms in Kaehler geometry
Differential Geometry
2023-05-15 v1
Abstract
For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killing forms on compact Kaehler manifolds. We give the first examples of conformal Killing forms on Kaehler manifolds not coming from Hamiltonian 2-forms. These are supported by Calabi type manifolds over a Kaehler Einstein base. In this set up we also give structure results and examples for the closely related class of Hermitian Killing forms.
Cite
@article{arxiv.2003.09184,
title = {Conformal Killing forms in Kaehler geometry},
author = {Paul-Andi Nagy and Uwe Semmelmann},
journal= {arXiv preprint arXiv:2003.09184},
year = {2023}
}
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31 pages