Showing items with similar title or keywords.

• A classification of $\protect \mathbb{R}$-Fuchsian subgroups of Picard modular groups 

  Parkkonen, Jouni; Paulin, Frédéric (CEDERAM - Centre de diffusion de revues académiques mathématiques, 2018)

• Gromov hyperbolicity and quasihyperbolic geodesics 

  Koskela, Pekka; Lammi, Päivi; Manojlovic, Vesna (Societe Mathematique de France; École normale supérieure, 2014)

  We characterize Gromov hyperbolicity of the quasihyperbolic metric space (\Omega,k) by geometric properties of the Ahlfors regular length metric measure space (\Omega,d,\mu). The characterizing properties are called the ...

• Rigidity, counting and equidistribution of quaternionic Cartan chains 

  Parkkonen, Jouni; Paulin, Frédéric (Universite Clermont Auvergne, 2022)

  In this paper, we prove an analog of Cartan’s theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and ...

• Integral binary Hamiltonian forms and their waterworlds 

  Parkkonen, Jouni; Paulin, Frédéric (American Mathematical Society (AMS), 2021)

  We give a graphical theory of integral indefinite binary Hamiltonian forms f analogous to the one by Conway for binary quadratic forms and the one of Bestvina-Savin for binary Hermitian forms. Given a maximal order O in a ...

• Quasihyperbolic boundary condition: Compactness of the inner boundary 

  Lammi, Päivi (University of Illinois, 2011)

  We prove that if a metric space satisfies a suitable growth condition in the quasihyperbolic metric and the Gehring–Hayman theorem in the original metric, then the inner boundary of the space is homeomorphic to the Gromov ...