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This article is cited in 1 scientific paper (total in 1 paper)
Real, complex and functional analysis
On finding the exact values of the constant in a $(1,q_2)$-generalized triangle inequality for Box-quasimetrics on $2$-step Carnot groups with $1$-dimensional center
A. V. Greshnov Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
Abstract:
For $2$-step Carnot groups with $1$-dimensional center, a method for defining the exact values of the constant $q_2$ in a $(1,q_2)$-generalized triangle inequality for their Box-quasimetrics is developed. The exact values of the constant $q_2$ are defined for $4$-, $5$-, and $6$-dimensional $2$-step Carnot groups with $3$-dimensional horisontal subbundle.
Keywords:
$(q_1,q_2)$-quasimetric spase, Carnot group, exact value, Box-quasimetric.
Received August 15, 2021, published November 18, 2021
Citation:
A. V. Greshnov, “On finding the exact values of the constant in a $(1,q_2)$-generalized triangle inequality for Box-quasimetrics on $2$-step Carnot groups with $1$-dimensional center”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1251–1260
Linking options:
https://www.mathnet.ru/eng/semr1436 https://www.mathnet.ru/eng/semr/v18/i2/p1251
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Abstract page: | 108 | Full-text PDF : | 34 | References: | 20 |
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