List of Differential Geometry Topics - Homogeneous Spaces

Homogeneous Spaces

  • Klein geometry, Erlangen programme
  • symmetric space
  • space form
  • Maurer–Cartan form
  • Examples
    • hyperbolic space
    • Gauss–Bolyai–Lobachevsky space
    • Grassmannian
    • Complex projective space
    • Real projective space
    • Euclidean space
    • Stiefel manifold
    • Upper half-plane
    • Sphere

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    In any case, raw aggression is thought to be the peculiar province of men, as nurturing is the peculiar province of women.... The psychologist Erik Erikson discovered that, while little girls playing with blocks generally create pleasant interior spaces and attractive entrances, little boys are inclined to pile up the blocks as high as they can and then watch them fall down: “the contemplation of ruins,” Erikson observes, “is a masculine specialty.”
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