Point Reflection - Point Reflections in Mathematics

Point Reflections in Mathematics

  • Point reflection across the center of a sphere yields the antipodal map.
  • A symmetric space is a Riemannian manifold with an isometric reflection across each point. Symmetric spaces play an important role in the study of Lie groups and Riemannian geometry.

Read more about this topic:  Point Reflection

Famous quotes containing the words point, reflections and/or mathematics:

    I am less disposed to think of a West Point education as requisite for this business than I was at first. Good sense and energy are the qualities required.
    Rutherford Birchard Hayes (1822–1893)

    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)

    ... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.
    Amelia E. Barr (1831–1919)