Projective Relativistic - Computational Geometry - Prof N J Wildberger - Lecture 1 of 10 - Video-lecture

Video-lecture, 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
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University: Carnegie Mellon University (PA)
Address: Mathematics