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Stable systoles of
higher rank in Riemannian manifolds
James J. Hebda |
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Vol. 325 (2023), No. 1, 105–126
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DOI: 10.2140/pjm.2023.325.105
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Abstract |
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This paper introduces the stable systoles of higher rank of a Riemannian manifold as a generalization of the usual stable systoles. Several inequalities involving these higher rank systoles are proved. |
Keywords
Riemannian manifolds, systoles, systolic inequalities,
lattices, Hausdorff–Busemann measure
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Mathematical Subject Classification
Primary: 53C20
Secondary: 53C22
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Milestones
Received: 18 January 2021
Revised: 24 March 2023
Accepted: 2 July 2023
Published: 3 September 2023
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Authors |
| James J. Hebda | |
| Mathematics and Statistics Saint Louis University St. Louis, MO United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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