E. A. Zavalnyuk, “Steiner ratio for the Hadamard surfaces of curvature at most <nobr>$k<0$</nobr>”, Fundam. Prikl. Mat., 2013, Volume 18, Issue 2,Pages <nobr>35

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

E. A. Zavalnyuk

M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: 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 $2\pi$. The Steiner ratio of an Hadamard surface was obtained for the case where the surface is unbounded and $k<0$.

UDC: 514.177.2+515.122.23