✦ LIBER ✦

Randers spaces of constant curvature

✍ Scribed by Matsumoto, Makoto

Book ID: 122958555
Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 669 KB
Volume: 28
Category: Article
ISSN: 0034-4877
DOI: 10.1016/0034-4877(89)90047-5

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In hyperbolic, Euclidean and spherical n-space, we determine, for each positive number l, the largest interval of the form ),.(/) ~< l u ~< l which guarantees the existence of an nsimplex Pl P2 "'" P,+t with edge-lengths pipj=lu. (In spherical geometry of curvature 1 the interval is empty unless 1 ~