Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume
In this paper, we give a systolic inequality for a quotient space of a Carnot group Γ∖ with Popp's volume. Namely, we show the existence of a positive constant C such that the systole of Γ∖ is less than Cvol(Γ∖ )¹ᐟQ, where Q is the Hausdorff dimension. Moreover, the constant depends only on t...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211729 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume. Kenshiro Tashiro. SIGMA 18 (2022), 058, 16 pages |
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