Loewner’s Torus Inequality with Isosystolic Defect

2009/06/18 by C. J. Horowitz, Charles Horowitz, Karin U. Katz +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Class (philosophy) #Combinatorics #Computer science #Conformal map #Dermatological and Skeletal Disorders #Finite Group Theory Research #Geometric and Algebraic Topology #Geometry #Isoperimetric inequality #Mathematical analysis #Mathematics #Metric (unit) #Pure mathematics #Torus #Unit (ring theory) #Variance (accounting)

paper · doi:10.1007/s12220-009-9090-y

openalex publication_date 2009/06/18 · crossref created 2009/06/18 · crossref issued 2009/06/19 · crossref published 2009/06/19 · crossref published-online 2009/06/19 · crossref published-print 2009/10/01 · crossref deposited 2019/06/02 · openalex created_date 2025/10/10 · crossref indexed 2026/03/02 · openalex updated_date 2026/07/29

Citations

• Metric Structures for Riemannian and Non-Riemannian Spaces
• Systolic Geometry and Topology
• Hyperellipticity and Klein bottle companionship in systolic geometry
• Filling Riemannian manifolds
• A family of cubical graphs
• A Panoramic View of Riemannian Geometry

Cited by

• Loewner's torus inequality [wikipedia]