INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.19, sa.09, 2022 (SCI-Expanded)
The main purpose of this paper is to investigate the cohomology of semi-invariant submanifolds in metallic Riemannian manifolds. We show that there exist well-defined canonical de Rham cohomology classes for such type of submanifolds under some necessary conditions. We also discuss the non-triviality of these cohomology classes. Finally, we provide two examples in order to support the results obtained from the paper.