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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1040–1058 (Mi smj2587)  
This article is cited in 5 scientific papers (total in 5 papers)

The geometry of $cc$-balls and the constants in the Ball-Box theorem on Heisenberg group algebras

A. V. Greshnov

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (390 kB) Citations (5)
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Abstract: We study the geometry of balls in the Carnot-Carathéodory metric and find the optimal equivalence constants in the Ball-Box Theorem on the Heisenberg group algebras $\mathbb H^n_\alpha$.
Keywords: Heisenberg group algebra, shortest arc, Carnot–Carathéodory metric, quasimetric, Pontryagin maximum principle.
Received: 16.12.2013
Revised: 17.06.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 849–865
DOI: https://doi.org/10.1134/S003744661405005X
Bibliographic databases:
Document Type: Article
UDC: 514.763+512.812.4+517.911
Language: Russian
Citation: A. V. Greshnov, “The geometry of $cc$-balls and the constants in the Ball-Box theorem on Heisenberg group algebras”, Sibirsk. Mat. Zh., 55:5 (2014), 1040–1058; Siberian Math. J., 55:5 (2014), 849–865
Citation in format AMSBIB
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\pages 1040--1058
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\transl
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:55
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