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Conformal Killing forms on nearly Kähler manifolds

Conformal Killing forms on nearly Kähler manifolds

Authors :
Uwe Semmelmann
Antonio Martínez Naveira
Source :
Differential Geometry and its Applications. 70:101628
Publication Year :
2020
Publisher :
Elsevier BV, 2020.

Abstract

We study conformal Killing forms on compact 6-dimensional nearly Kahler manifolds. Our main result concerns forms of degree 3. Here we give a classification showing that all conformal Killing 3-forms are linear combinations of dω and its Hodge dual ⁎ d ω , where ω is the fundamental 2-form of the nearly Kahler structure. The proof is based on a fundamental integrability condition for conformal Killing forms. We have partial results in the case of conformal Killing 2-forms. In particular we show the non-existence of J-anti-invariant Killing 2-forms.

Details

ISSN :
09262245
Volume :
70
Database :
OpenAIRE
Journal :
Differential Geometry and its Applications
Accession number :
edsair.doi...........324238b571cf367afa58b9410b6436e8
Full Text :
https://doi.org/10.1016/j.difgeo.2020.101628