Select article for exportArticle7 Citations3,116 Views17 Pages Download PDF Pinned Geometric Configurations in Euclidean Space and Riemannian ManifoldsAlex Iosevich, Krystal Taylor and Ignacio Uriarte-TueroMathematics2021, 9(15), 1802;https://doi.org/10.3390/math9151802 - 29 July 2021Let M be a compact d-dimensional Riemannian manifold without a boundary. Given a compact set E⊂M, we study the set of distances from the set E to a fixed point x∈E. This set is Δρx(E)={ρ(x,y):y∈E}, where ρ is the Riemannian metric on M. We prove that...Show more(This article belongs to the Section B: Geometry and Topology) Full Article
