Some lower bounds for the area of surfaces

DOI10.1007/BF01396632zbMath0482.53028WikidataQ56452680 ScholiaQ56452680MaRDI QIDQ1162713

James J. Hebda

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142863

zbMATH Keywords

arealengthLoewner's theoremisotelestwo-dimensional riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (11)

On two dimensional isosystolic inequalities ⋮ Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Systolic inequalities for compact quotients of Carnot groups with Popp's volume ⋮ Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Bavard's systolically extremal Klein bottles and three dimensional applications ⋮ On the analytic systole of Riemannian surfaces of finite type ⋮ Relative systoles of relative-essential 2-complexes ⋮ The length of a shortest closed geodesic on a surface of finite area ⋮ Systolic invariants of groups and 2-complexes via Grushko decomposition ⋮ Hyperelliptic surfaces are Loewner ⋮ The length of the shortest closed geodesic in a closed Riemannian 3-manifold with nonnegative Ricci curvature

Cites Work

• Über Extremallängen auf geschlossenen Flächen
• Volume et rayon d'injectivite dans les variétés Riemanniennes de dimension 3
• On the structure of complete manifolds of nonnegative curvature
• Connections between differential geometry and topology. I. Simply connected surfaces
• Some inequalities in certain nonorientable Riemannian manifolds
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