Systolic geometry of connected sums and cyclic covering.

DOI10.1007/s00208-005-0668-9zbMath1149.53024OpenAlexW1990348501MaRDI QIDQ2574911

Florent Balacheff, Ivan K. Babenko

Publication date: 5 December 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0668-9

zbMATH Keywords

systolic constraint

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (4)

Systolic volume of hyperbolic manifolds and connected sums of manifolds ⋮ Systolic inequalities and Massey products in simply-connected manifolds ⋮ Systolic geometry and simplicial complexity for groups ⋮ Systolic volume of homology classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Filling Riemannian manifolds
• Volume and bounded cohomology
• Constructions for cubic graphs with large girth
• Riemannian geometry during the second half of the twentieth century
• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• Some inequalities in certain nonorientable Riemannian manifolds
• Quelques propriétés globales des variétés différentiables
• Girth of sparse graphs
• À l'ombre de Loewner
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

This page was built for publication: Systolic geometry of connected sums and cyclic covering.