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.
Read more about this topic: List Of Manifolds
Famous quotes containing the words generic and/or families:
““Mother” has always been a generic term synonymous with love, devotion, and sacrifice. There’s always been something mystical and reverent about them. They’re the Walter Cronkites of the human race . . . infallible, virtuous, without flaws and conceived without original sin, with no room for ambivalence.”
—Erma Bombeck (20th century)
“Take two kids in competition for their parents’ love and attention. Add to that the envy that one child feels for the accomplishments of the other; the resentment that each child feels for the privileges of the other; the personal frustrations that they don’t dare let out on anyone else but a brother or sister, and it’s not hard to understand why in families across the land, the sibling relationship contains enough emotional dynamite to set off rounds of daily explosions.”
—Adele Faber (20th century)