Complex Manifold - Disk Vs. Space Vs. Polydisk

Disk Vs. Space Vs. Polydisk

The following spaces are different as complex manifolds, demonstrating the more rigid geometric character of complex manifolds (compared to smooth manifolds):

  • the unit disk or open ball, {z ∈ Cn : ||z|| < 1}
  • complex space Cn
  • the polydisk

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