Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Conformal Geometry and its Application to Neurogeometry, Lecture I

Dmitri Alekseevsky

created by daniele on 02 Jun 2015

8 jun 2015 -- 15:00

Aula 15S, Politecnico di Torino


Presentation of the course. Conformal Geometry of the sphere.

Minkowski space and Lorentz group. Three orbits of the Lorentz group SO1,3 in the Minkowski space and associated geometries. Conformal sphere as the projectivised light cone (celestial sphere) and as the flag manifold. Classification of 1-parameter subgroups of the Lorentz group and the homogeneous curves in the conformal sphere. Conformal circles and their description.

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