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Results tagged with complex-geometry
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user 675
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
6
votes
Accepted
References on almost complex structures on spheres
I think this "well known fact" was proved first by Borel and Serre,
Borel, A., Serre, J. P.: Groupes de Lie et puissances réduites de Steenrod. Amer. J. Math.75, 409–448 (1953)
For a more detailed t …
- 1,939
7
votes
When can you reverse the orientation of a complex manifold and still get a complex manifold?
It seems to me that you could be interested in the following (I haven't checked the paper in detail, but I think theorems of this "style" could be helpful for you):
Dieter Kotschick, Orientations an …
- 1,939
9
votes
1
answer
772
views
Infinite dimensional Newlander-Nirenberg theorem
The Newlander-Nirenberg theorem states that an almost complex structure is integrable if and only if the Nijenhuis tensor vanishes.
I heard that this statement is not true in infinite dimensions, sin …
- 1,939