Almost complex manifolds with small Nijenhuis tensor
We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm. The 4-dimensional examples possess no complex structure, whereas the 6-dimensional example does not possess a left invariant complex...
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| Auteurs principaux: | , , |
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/13e3fcb13ad345f7988f5c8d9d8aa2e6 |
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| Résumé: | We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm. The 4-dimensional examples possess no complex structure, whereas the 6-dimensional example does not possess a left invariant complex structure, and whether it possesses a complex structure appears to be unknown. |
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