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Almost-geodesic maps of Riemannian spaces onto spaces of constant curvature

✍ Scribed by V. S. Shadnyi

Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
158 KB
Volume
25
Category
Article
ISSN
0001-4346

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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 ~