Alexander A. Borisenko
B. Verkin Institute for Low Temperature Physics and Engineering of the National
Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
Received June 2, 2020.
In the paper, a generalization of the Toponogov theorem about the length
of a curve in a two-dimensional Riemannian manifold is proved for the case
of two-dimensional Aleksandrov spaces.
Mathematics Subject Classification 2010: 53C44, 52A40Key words: $\lambda$-convex curve, two-dimensional Aleksandrov space.