Uniform discreteness and Heisenberg screw motions
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Publication:1395392
DOI10.1007/s00209-002-0459-xzbMath1021.37025OpenAlexW2144414766MaRDI QIDQ1395392
John R. Parker, Yue Ping Jiang
Publication date: 1 July 2003
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-002-0459-x
Lie groupcomplex hyperbolic spacediscretenessbound on the radii of isometric spheresboundary elliptic mapgroups of complex hyperbolic isometricsHeisenberg screw motionShimizu's lemmavertical Heisenberg translation
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Related Items (9)
A discrete criterion in \(\text{PU}(2,1)\) by use of elliptic elements. ⋮ Groups generated by two elliptic elements in \(\text{PU}(2,1)\). ⋮ Discrete subgroups of PU(2, 1) with screw parabolic elements ⋮ Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups ⋮ Shimizu's lemma for quaternionic hyperbolic space ⋮ Discreteness of subgroups of \(\text{PU}(2,1)\) with regular elliptic elements. ⋮ On cusp regions associated to screw-parabolic maps ⋮ A discreteness criterion for subgroups of \({\mathbf{PU}(2,1)}\) with screw parabolic elements ⋮ JØRGENSEN’S INEQUALITY FOR QUATERNIONIC HYPERBOLIC SPACE WITH ELLIPTIC ELEMENTS
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