A. V. Greshnov, M. V. Tryamkin, “Exact Values of Constants in the Generalized Triangle Inequality for Some <nobr>$(1,q_2)$</nobr>-Quasimetrics on Canonical Carnot Groups”, Mat. Zametki, 2015, Volume 98, Issue 4,Pages <nobr>635

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Brief Communications

Exact Values of Constants in the Generalized Triangle Inequality for Some $(1,q_2)$-Quasimetrics on Canonical Carnot Groups

A. V. Greshnov^ab, M. V. Tryamkin^ba

^a Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Keywords: generalized triangle inequality, box quasimetric, Carnot group, graded Lie algebra, Campbell–Hausdorff formula, Engel group, Heisenberg group.

Received: 02.04.2015

DOI: 10.4213/mzm10825