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A systolic inequality for compact quotients of Carnot groups with the Popp's volume | | Kenshiro Tashiro
; | | Date: |
1 Jan 2022 | | Abstract: | In this paper, we give a systolic inequality for quotient spaces of Carnot
groups $Gammaackslash G$ with the Popp’s volume. Namely we show the
existence of a positive constant $C>0$ such that the systole of
$Gammaackslash G$ is less than $Cvol(Gammaackslash G)^{frac{1}{Q}}$,
where $Q$ is the Hausdorff dimension. Moreover the constant depends only on the
dimension of grading of the Lie algebra $mathfrak{g}=igoplus V_i$. | | Source: | arXiv, 2201.00128 | | Services: | Forum | Review | PDF | Favorites | |
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