Conformal circles on a Moebius sphere

Michaela Grossbichler
(University of Vienna)

Abstract: In my talk I will give an outline of the construction of canonical curves on the Moebius-sphere S ^(p,q) using two different approaches. On the one hand this will happen by geometrical methods (cutting the light-cone by a plane and mapping the result to the sphere). On the other hand considering the Moebius-sphere as a homogenous space and constructing the curves by exponential maps.