FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 2, PAGES 35-51

**Steiner ratio for the Hadamard surfaces of curvature at most
$k\; <\; 0$**

E. A. Zavalnyuk

Abstract

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In this paper, the Hadamard surfaces of curvature at
most $k$ are
investigated, which are a particular case of Alexandrov surfaces.
It was shown that the total angle at the points of an Hadamard surface
is not less than $2$p.
The Steiner ratio of an Hadamard surface was obtained for the case
where the surface is unbounded and $k\; <\; 0$.

Location: http://mech.math.msu.su/~fpm/eng/k13/k132/k13203h.htm

Last modified: January 7, 2014