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math.DG2020★ 1 cited
Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces
Brenden Balch, Chris Peterson, Clayton Shonkwiler
Lens spaces are a family of manifolds that have been a source of many interesting phenomena in topology and differential geometry. Their concrete construction, as quotients of odd-…
math.DG2020★ 1 cited
Expected Distances on Manifolds of Partially Oriented Flags
Brenden Balch, Chris Peterson, Clayton Shonkwiler
Flag manifolds are generalizations of projective spaces and other Grassmannians: they parametrize flags, which are nested sequences of subspaces in a given vector space. These are…