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Results tagged with complex-manifolds
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user 20516
For questions about or involving complex manifolds.
3
votes
Is a non-compact Riemann surface an open subset of a compact one ?
Useful references for your question are Robert Brooks' "Platonic surfaces" and Dan Mangoubi's "Conformal Extension of Metrics of Negative Curvature" (both on arxiv).
I emailed Luca Migliorini requ …
- 2,274
5
votes
Accepted
(Contradiction) All symplectic manifolds are holomorphic
The comments of @JHM and @Ivan Solonenko contain an answer to OP's question.
(1) The OP is correct that $j_0:=\phi_* \circ J \circ \phi^{-1}_*$ is an almost-complex structure on the image $V:=\phi(U) …
- 2,274