Systoles on Heisenberg groups with Carnot-Caratheodory metrics
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The systolic properties of the nilmanifolds N{sup 2n+1} associated with the higher Heisenberg groups H{sub 2n+1} are studied. Effective estimates of the systolic constants {sigma}(N{sup 2n+1}) in the Carnot-Caratheodory geometry, as functions of the parameters defining a uniform lattice on H{sub 2n+1}, are obtained.
- OSTI ID:
- 21205599
- Journal Information:
- Sbornik. Mathematics, Vol. 192, Issue 3; Other Information: DOI: 10.1070/SM2001v192n03ABEH000549; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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