Gok, MustafaKilic, Erol2024-08-042024-08-0420220354-5180https://doi.org/10.2298/FIL2208675Ghttps://hdl.handle.net/11616/101047In this paper, we obtain some classification theorems for totally umbilical semi-invariant submanifolds 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.eninfo:eu-repo/semantics/openAccessmetallic structuremetallic Riemannian manifoldsemi-invariant submanifoldtotally umbilicalityArticle3682675268610.2298/FIL2208675G2-s2.0-85143681483Q3WOS:000909136400014Q3