List of Manifolds - Generic Families of Manifolds

Generic Families of Manifolds

  • Euclidean space, Rn
  • n-sphere, Sn
  • n-torus, Tn
  • Real projective space, RPn
  • Complex projective space, CPn
  • Quaternionic projective space, HPn
  • Grassmann manifold
  • Flag manifold
  • Stiefel manifold

Lie groups provide several interesting families. See Table of Lie groups for examples. See also: List of simple Lie groups and List of Lie group topics.

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