Systole et invariant d'Hermite.

DOI10.1515/crll.1997.482.93zbMath1011.53035OpenAlexW84679617MaRDI QIDQ5690185

Christophe Bavard

Publication date: 18 February 1997

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002214288

zbMATH Keywords

systoleRiemannian surfacesHermite invariantprincipally polarized abelian varietyperfectioneutaxielength function Busemann function

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Abelian varieties and schemes (14K99)

Related Items (18)

Local maxima of the systole function ⋮ Construction of hyperbolic Riemann surfaces with large systoles ⋮ Systoles on Compact Riemann Surfaces with Symbolic Dynamics ⋮ Spherical designs and heights of Euclidean lattices ⋮ Hyperbolic punctured spheres without arithmetic systole maximizers ⋮ On the difficulty of finding spines ⋮ The Bers's constant in genus two ⋮ Minimality of the well-rounded retract. ⋮ Minimal length of two intersecting simple closed geodesics ⋮ Systolically extremal nonpositively curved surfaces are flat with finitely many singularities ⋮ Infinite sequences of perfect Riemann surfaces ⋮ Systoles in translation surfaces ⋮ Systolic cutting and inequalities for bordered hyperbolic surfaces ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ Application of an idea of Voronoĭ to lattice packing ⋮ Application of an idea of Voronoĭ to lattice zeta functions ⋮ Extremal symplectic lattices ⋮ Geometry of Riemann surfaces based on closed geodesics

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