The complex cross ratio on the Heisenberg group
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Publication:1099261
zbMath0638.22005MaRDI QIDQ1099261
Adam Korányi, Hans Martin Reimann
Publication date: 1987
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Heisenberg groupgroup of automorphismsgroup of transformationscomplex cross-ratiogeometry of the sphereleft-translationsreal cross-ratio
General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05)
Related Items (15)
Möbius rigidity of invariant metrics in boundaries of symmetric spaces of rank-1 ⋮ Paired CR structures and the example of Falbel's cross-ratio variety ⋮ Congruence classes of points in quaternionic hyperbolic space ⋮ Geometric structures associated to triangulations as fixed point sets of involutions ⋮ LOCAL COORDINATES FOR COMPLEX AND QUATERNIONIC HYPERBOLIC PAIRS ⋮ Hardy spaces and quasiconformal maps in the Heisenberg group ⋮ Configurations of flags and representations of surface groups in complex hyperbolic geometry ⋮ A Kähler structure for the \(\text{PU}(2, 1)\) configuration space of four points in \(S^3\) ⋮ Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1 ⋮ The \(\mathrm{PU}(2,1)\) configuration space of four points in \(S^3\) and the cross-ratio variety ⋮ Moduli of triangles in the Heisenberg group ⋮ The moduli space of points in the boundary of complex hyperbolic space ⋮ Lagrangian decomposability of some two-generator subgroups of \(\text{PU}(2,1)\). ⋮ On the moduli space of quadruples of points in the boundary of complex hyperbolic space ⋮ The moduli space of points in quaternionic projective space
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