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Some Integrable Problems in Celestial Mechanics in Spaces of Constant Curvature

✍ Scribed by T. G. Vozmishcheva


Book ID
110412011
Publisher
Springer US
Year
2003
Tongue
English
Weight
637 KB
Volume
114
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


Simplexes in spaces of constant curvatur
✍ B. V. Dekster; J. B. Wilker πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 543 KB

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 ~