Quaternions and Some Global Properties of Hyperbolic 5-Manifolds
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Publication:4437778
DOI10.4153/CJM-2003-042-4zbMath1054.57019MaRDI QIDQ4437778
Publication date: 3 December 2003
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
cusphyperbolic manifolddiameterinjectivity radiustubequaternionsimple closed geodesicthick and thin decompositionClifford matrixloxodromic isometrylower volume bound
Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) Geometric structures on manifolds of high or arbitrary dimension (57N16)
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Orientation preserving Möbius transformations in \(\mathbb{R}_\infty^4\) and quaternionic determinants ⋮ Jørgensen's inequality for metric spaces with application to the octonions ⋮ Conjugacy classification of quaternionic Möbius transformations ⋮ Algebraic characterization of the isometries of the hyperbolic 5-space ⋮ On Hall rays in the Diophantine approximation ⋮ An embedding theorem for orders in central simple algebras ⋮ Discreteness of hyperbolic isometries by test maps ⋮ On the structure of hyperbolic manifolds ⋮ On the closedness of approximation spectra ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ TEST MAP AND DISCRETENESS IN SL(2, ℍ) ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ Integral binary Hamiltonian forms and their waterworlds
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