Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components

DOI10.1007/s00039-019-00506-3zbMath1447.58013arXiv1807.04373OpenAlexW3105028543WikidataQ127548226 ScholiaQ127548226MaRDI QIDQ2317436

Gabriele Mondello, Dmitri Panov

Publication date: 9 August 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04373

zbMATH Keywords

spherical surfaces

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Differentials on Riemann surfaces (30F30)

Related Items (18)

Moduli spaces for Lamé functions and Abelian differentials of the second kind ⋮ Spherical conical metrics and harmonic maps to spheres ⋮ Non-positively curved Ricci surfaces with catenoidal ends ⋮ Holonomy of complex projective structures on surfaces with prescribed branch data ⋮ Moduli of spherical tori with one conical point ⋮ Dihedral monodromy of cone spherical metrics ⋮ Classification of generic spherical quadrilaterals ⋮ Prescribed curvature problem for discrete conformality on convex spherical cone-metrics ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities ⋮ Metrics of constant positive curvature with four conic singularities on the sphere ⋮ Spectral properties of reducible conical metrics ⋮ Irreducible cone spherical metrics and stable extensions of two line bundles ⋮ Rigidity of a family of spherical conical metrics ⋮ Global differential geometry. Abstracts from the workshop held June 30 -- July 5, 2019 ⋮ The semiclassical limit of Liouville conformal field theory ⋮ Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces

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