Turkish Journal of Mathematics
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) $\pi$.
DOI
10.3906/mat-1509-52
Keywords
Alexandrov curvature, Busemann curvature, average angles
First Page
211
Last Page
215
Recommended Citation
GU, SHIJIE
(2017)
"On the equivalence of Alexandrov curvature and Busemann curvature,"
Turkish Journal of Mathematics: Vol. 41:
No.
1, Article 19.
https://doi.org/10.3906/mat-1509-52
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss1/19
