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math.DG2018★ 1 cited
On the geodesic diameter of surfaces with involutive isometry
Yu. G. Nikonorov
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On the geodesic diameter of surfaces with involutive isometry (Russian), Tr. Rub…
math.DG2013
The infimum of the volumes of convex polytopes of any given facet areas is 0
N. V. Abrosimov, E. Makai, A. D. Mednykh +2
We prove the theorem mentioned in the title, for , where . The case of the simplex was known previously. Also, the case was settled, but there the in…
math.DG2012★ 4 cited
Negative eigenvalues of the Ricci operator of solvable metric Lie algebras
Yu. G. Nikonorov
In this paper we get a necessary and sufficient condition for the Ricci operator of a solvable metric Lie algebra to have at least two negative eigenvalues. In particular, this con…