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Sbornik: Mathematics, 2001, Volume 192, Issue 3, Pages 347–374
DOI: https://doi.org/10.1070/sm2001v192n03ABEH000549 (Mi sm549) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Systoles on Heisenberg groups with Carnot–Carathéodory metrics

V. V. Dontsov

M. V. Lomonosov Moscow State University
English version PDF (367 kB) Citations (1)
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DOI: https://doi.org/10.1070/sm2001v192n03ABEH000549
Abstract: The systolic properties of the nilmanifolds $\mathscr N^{2n+1}$ associated with the higher Heisenberg groups $H_{2n+1}$ are studied. Effective estimates of the systolic constants $\sigma(\mathscr N^{2n+1})$ in the Carnot–Carathéodory geometry, as functions of the parameters defining a uniform lattice on $H_{2n+1}$, are obtained.
Received: 01.06.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 3, Pages 27–54
DOI: https://doi.org/10.4213/sm549
Bibliographic databases:
UDC: 514.174.6
MSC: Primary 53C30, 53D10, 53D35; Secondary 53C20
Language: English
Original paper language: Russian
Citation: V. V. Dontsov, “Systoles on Heisenberg groups with Carnot–Carathéodory metrics”, Mat. Sb., 192:3 (2001), 27–54; Sb. Math., 192:3 (2001), 347–374
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    References:70
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