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Conformal Killing forms on nearly Kähler manifolds
Conformal Killing forms on nearly Kähler manifolds
- 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.
- Subjects :
- Pure mathematics
Degree (graph theory)
010102 general mathematics
Structure (category theory)
Conformal map
01 natural sciences
Computational Theory and Mathematics
0103 physical sciences
010307 mathematical physics
Geometry and Topology
0101 mathematics
Hodge dual
Linear combination
Analysis
Mathematics
Subjects
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