On the number of regions formed by arrangements of closed geodesics on flat surfaces

DOI10.1134/S0001434611090318zbMath1283.53041MaRDI QIDQ2435810

I. N. Shnurnikov

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldKlein bottleGaussian curvaturetwo-dimensional torusflat surfacearrangement of geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Face enumeration for line arrangements in a 2-torus ⋮ Face counting formula for toric arrangements defined by root systems

Cites Work

• Unnamed Item
• On the number of regions determined by n lines in the projective plane
• Sur l'évaluation \(t(M;2,0)\) du polynôme de Tutte d'un matroide et une conjecture de B. Grünbaum rélative aux arrangements de droites du plan
• Classification of arrangements by the number of their cells

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