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Non‐positively curved developments of billiards
Author(s) -
Januszkiewicz Tadeusz,
Świa̧tkowski Jacek
Publication year - 2010
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtq001
Subject(s) - mathematics
We prove the existence of compact non‐positively (negatively) curved developments for a large class of Euclidean (hyperbolic) billiards in arbitrary dimension, including all convex polytopal ones.