Parabolic Geometry

Parabolic geometry may refer to:

  • Euclidean geometry, where Euclidean space is viewed as the natural representation space of the group of Euclidean motions
  • The geometry of a Riemannian manifold admitting no positive Green's function
  • Parabolic geometry (differential geometry): The homogeneous space defined by a semisimple Lie group modulo a parabolic subgroup, or the curved analog of such a space

Famous quotes containing the word geometry:

    I am present at the sowing of the seed of the world. With a geometry of sunbeams, the soul lays the foundations of nature.
    Ralph Waldo Emerson (1803–1882)