Legendrian Geometry

Some articles on legendrian geometry, geometry:

Dehn Planes - Dehn's Non-Legendrian Geometry
... paper, Dehn also constructed an example of a non-Legendrian geometry where there are infinitely many lines through a point not meeting another line, but the sum of the angles in a triangle ... Riemann's elliptic geometry over Ω(t) consists of the projective plane over Ω(t), which can be identified with the affine plane of points (xy1) together ...

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)