- Turkish Journal of Mathematics
- Vol: 41 Issue: 1
- On the equivalence of Alexandrov curvature and Busemann curvature
On the equivalence of Alexandrov curvature and Busemann curvature
Authors : Shijie Gu
Pages : 211-215
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :It is shown that the curvature bounded above (resp. below) in the sense of Alexandrov is equivalent to the curvature bounded above (resp. below) in the sense of Busemann if and only if the sum of adjacent average angles is at least (resp. at most) $\pi$.Keywords : Alexandrov curvature, Busemann curvature, average angles