Details

Autor(en) / Beteiligte

• Zorich, V. A.

Titel

Boundary behaviour of automorphisms of a hyperbolic space

Ist Teil von

• Russian mathematical surveys, 2017-08, Vol.72 (4), p.645-670

Ort / Verlag

London: London Mathematical Society, Turpion Ltd and the Russian Academy of Sciences

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• An automorphism of a Euclidean ball extends to a homeomorphic mapping of the closed ball even when the quasiconformality coefficient of the mapping increases unboundedly but in a controlled way upon approaching the boundary of the ball. By means of Poincaré's conformally Euclidean model of the Lobachevsky space, this yields a condition under which an automorphism of a hyperbolic space still extends to the ideal boundary (the absolute) of the space when translated into geometric language. Bibliography: 28 titles.