TY - JOUR
ID - 5326
TI - A remark on the metric dimension in Riemannian manifolds of constant curvature
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Heidarkhani Gilani, Shiva
AU - Mirzaie, Reza
AU - Vatandoost, Ebrahim
AD - Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
Y1 - 2023
PY - 2023
VL -
IS -
SP -
EP -
KW - Metric dimension
KW - Riemannian manifold
KW - Graph
DO - 10.22060/ajmc.2023.22527.1165
N2 - We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weighted metricdimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G = (V,E)$ embedded in a Riemannin manifold of constant curvature resolves a totally geodesic submanifold of dimension $|V| − 1$.
UR - https://ajmc.aut.ac.ir/article_5326.html
L1 -
ER -