Filomat, cilt.36, sa.8, ss.2675-2686, 2022 (SCI-Expanded)
© 2022, University of Nis. All rights reserved.In this paper, we obtain some classification theorems for totally umbilical semi-invariant sub-manifolds in locally decomposable metallic Riemannian manifolds. We also prove that there exist no totally umbilical proper semi-invariant submanifolds in a posivitely or negatively curved locally decomposable metallic Riemannian manifold.