Systoles on \(S^ 1\times S^ n\)
type: Item
instance of: scholarly article
title: Systoles on \(S^ 1\times S^ n\)
zbMATH Open document ID: 0878.53038
DOI: 10.1016/S0926-2245(96)00044-7
author: Christophe Pittet
published in: Differential Geometry and its Applications
publication date: 1997-07-15T00:00:00Z
review text: It is proved that there is no constant \(c\) such that the inequality \(\text{syst}_1(g)\cdot\text{syst}_n(g)\leq c\cdot\text{Vol}(g)\) holds for all Riemannian metrics \(g\) on \(S^1\times S^n\).
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 55U25
zbMATH DE Number: 1034096
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: systoles
zbMATH Keywords: Sol geometry
Wikidata QID: Q115337607
reviewed by: Gheorghe Pitiş
MaRDI profile type: Publication
cites work: On intersystolic inequalities in dimension 3
cites work: Q4280761
cites work: Characteristic Classes. (AM-76)
cites work: Three dimensional manifolds, Kleinian groups and hyperbolic geometry
Recommended article: Systoles on Riemann surfaces
Recommended article: Systole on locally symmetric spaces
Recommended article: Systoles of hyperbolic manifolds
Recommended article: Systoles on Compact Riemann Surfaces with Symbolic Dynamics
Recommended article: Systole length in hyperbolic \(n\)-manifolds
Recommended article: Graphs of systoles on hyperbolic surfaces
Recommended article: Systoles of nilmanifolds with the Carnot-Caratheodory metrics
Recommended article: Systoles of hyperbolic 3-manifolds
Recommended article: Systoles and diameters of hyperbolic surfaces
Recommended article: Systoles of two extremal Riemann surfaces
description: scientific article; zbMATH DE number 1034096