Systolic inequalities for compact quotients of Carnot groups with Popp's volume

DOI10.3842/SIGMA.2022.058zbMath1498.53049arXiv2201.00128MaRDI QIDQ2162660

Kenshiro Tashiro

Publication date: 8 August 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00128

zbMATH Keywords

sub-Riemannian geometrysystoleCarnot groupsPopp's volume

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Integration of real functions of several variables: length, area, volume (26B15) Sub-Riemannian geometry (53C17)

Cites Work

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• On the Hausdorff volume in sub-Riemannian geometry
• On Carnot-Caratheodory metrics
• Filling Riemannian manifolds
• Inégalité isosystolique pour la bouteille de Klein. (Isosystolic inequalities for the Klein bottle)
• Some lower bounds for the area of surfaces
• Some inequalities in certain nonorientable Riemannian manifolds
• Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds
• A formula for Popp's volume in sub-Riemannian geometry
• A Comprehensive Introduction to Sub-Riemannian Geometry

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