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

Read more about this topic:  Complex Manifold

Famous quotes containing the words disk and/or space:

    “Unloved, that beech will gather brown,
    This maple burn itself away;

    Unloved, the sun-flower, shining fair,
    Ray round with flames her disk of seed,
    And many a rose-carnation feed
    With summer spice the humming air;”
    —Alfred Tennyson (1809–1892)

    “It is not through space that I must seek my dignity, but through the management of my thought. I shall have no more if I possess worlds.”
    —Blaise Pascal (1623–1662)