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Billiards in Finsler and Minkowski geometries

✍ Scribed by Eugene Gutkin; Serge Tabachnikov


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
181 KB
Volume
40
Category
Article
ISSN
0393-0440

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We investigate the possibility of extending classical integral geometric results, involving lower-dimensional areas, from Euclidean space to Minkowski spaces (finite-dimensional Banach spaces). Of the two natural notions of area in a Minkowski space, due respectively to Busemann and to Holmes and Th