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...
| الحاوية / القاعدة: | Complex Manifolds |
|---|---|
| المؤلفون الرئيسيون: | , , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
De Gruyter
2021-10-01
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1515/coma-2020-0122 |
| الملخص: | 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. |
|---|---|
| تدمد: | 2300-7443 |