Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 6 2 2025 02 01 A remark on the metric dimension in Riemannian manifolds of constant curvature 171 176 5326 10.22060/ajmc.2023.22527.1165 EN Shiva Heidarkhani Gilani Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran Reza Mirzaie Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran 0000-0002-9480-0222 Ebrahim Vatandoost Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran 0000-0001-5883-7776 Journal Article 2023 07 03 We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph G = (V, E) embedded in a Riemannian manifold of constant curvature resolves a totally geodesic submanifold of dimension |V | − 1.  https://ajmc.aut.ac.ir/article_5326_ac27b77292582bc293a51055bfc994ee.pdf