Differential geometry Complex, Kähler and special holonomy geometry Concept
Almost complex manifold
Summary
An almost complex manifold is a smooth manifold whose tangent spaces carry a smoothly varying multiplication by . Every complex manifold is one, but the converse fails in general. The Newlander–Nirenberg theorem says exactly when an almost complex structure comes from complex coordinates. Almost complex structures are basic in Hermitian, Kähler and symplectic geometry.
Where this leads
10 pages build on this one.
Further reading
About this page
| Tag | 9SYWRGVTRS |
|---|---|
| URI | m2://9SYWRGVTRS |
| Kind | concept |
| Writing | W0 stub |
| MSC | 53C15, 32Q60 |
| Specializes | Smooth manifold |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Used by
- Hyperkähler manifold
- Hermitian symmetric space
- Pseudoholomorphic curve
- Fukaya category
- Nijenhuis tensor
- Floer homology
- Hermitian manifold
- Complex structure on the six-sphere
- Newlander–Nirenberg theorem
- Quaternion-Kähler manifold