Systoles on Riemann surfaces
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Publication:1344924
DOI10.1007/BF02568209zbMath0819.30027OpenAlexW2039421340WikidataQ125768318 ScholiaQ125768318MaRDI QIDQ1344924
Publication date: 20 February 1995
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/156033
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geodesics in global differential geometry (53C22)
Related Items (19)
Local maxima of the systole function ⋮ Construction of hyperbolic Riemann surfaces with large systoles ⋮ Finite degree holomorphic covers of compact Riemann surfaces ⋮ Compact Riemann surfaces with many systoles ⋮ Kissing numbers of closed hyperbolic manifolds ⋮ An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ Hyperbolic surfaces with sublinearly many systoles that fill ⋮ John and Loewner ellipsoids ⋮ Infinite sequences of perfect Riemann surfaces ⋮ Systoles in translation surfaces ⋮ Hyperbolic 3-manifolds with large kissing number ⋮ Lattice packing and covering of convex bodies ⋮ Application of an idea of Voronoĭ to lattice packing ⋮ Application of an idea of Voronoĭ to lattice zeta functions ⋮ Asymmetric combinatorially-regular maps ⋮ Extremal symplectic lattices ⋮ Geometry of Riemann surfaces based on closed geodesics ⋮ Kissing numbers of regular graphs
Cites Work
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- Filling Riemannian manifolds
- Infinite families of surface symmetries
- Riemann surfaces with shortest geodesic of maximal length
- Congruence subgroups and maximal Riemann surfaces
- Asymmetric combinatorially-regular maps
- Compact Riemann surfaces with many systoles
- Arithmetic Fuchsian groups and the number of systoles
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