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:

    The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.
    —J.G. (James Graham)