##### Document information

Uploaded by:
blueeyes_11

Views: 415

University:
Carnegie Mellon University (PA)

Address:
Mathematics

Subject:
Computational Geometry

Description: This is the full lecture of a seminar on a new way of thinking about Hyperbolic Geometry, basically viewing it as relativistic geometry projectivized, that I gave a few years ago at UNSW. We discuss three dimensional relativistic space and its quadratic/bilinear form, particularly the upper sheet of the two sheeted hyperbola, which is a Riemannian manifold under the induced metric from the Lorentzian quadratic form x^2 y^2-z^2. Two views give the Poincare and Klein models (both due to Beltrami!) and it is the latter that we extend to include the entire projective plane

Uploaded by:
blueeyes_11

Views: 415

University:
Carnegie Mellon University (PA)

Address:
Mathematics

Subject:
Computational Geometry