Distributions of distances and volumes of balls in homogeneous lens spaces

DOI10.1016/j.difgeo.2020.101712zbMath1482.53066arXiv2004.13196OpenAlexW3022246752WikidataQ115354646 ScholiaQ115354646MaRDI QIDQ1995678

Brenden Balch, Chris Peterson, Clayton Shonkwiler

Publication date: 24 February 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13196

zbMATH Keywords

momentshomogeneous manifoldsdistance distributionslens spaces

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Differential geometry of homogeneous manifolds (53C30) Analytic geometry with other transformation groups (51N25)

Related Items (1)

Distance distributions and inverse problems for metric measure spaces

Cites Work

• Shape classification based on interpoint distance distributions
• On the spectra of 3-dimensional lens spaces
• Gromov-Wasserstein distances and the metric approach to object matching
• Riemannian geometry as determined by the volumes of small geodesic balls
• Symmetry of links and classification of lens spaces
• Eigenmodes of lens and prism spaces
• Configuration spaces are not homotopy invariant
• Homotopieringe und Linsenräume
• On reconstructing \(n\)-point configurations from the distribution of distances or areas
• The isoperimetric problem for lens spaces
• The topological classification of the lens spaces
• Invariant Histograms
• Shape distributions
• The Geometry of Algorithms with Orthogonality Constraints
• Thick/Thin Decomposition of Three-Manifolds and the Geometrisation Conjecture
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