Liouville-type theorems in parabolic geometry

speaker: Adam Koranyi (H. N. Lehman College C.U.N.Y.)

abstract: Parabolic geometry is the intrinsic geometry of a homogeneous space GP where G is a simple Lie group and P a parabolic subgroup. The conformal geometry of the sphere is a special instance of such a geometry. The subject of the talk is the characterization of the action of G by local geometric properties in the spirit of the classical Liouville theorem on conformal mappings.

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