In this study, we answer the question under what conditions a hemi-slant submanifold of locally decomposable metallic Riemannian manifolds admits a well defined canonical de Rham cohomology class. Firstly, we give the integrability and minimality conditions of the distributions arose from its definition. Later, we find some necessary conditions depending on the above-named concepts of the associated distributions for such a type of submanifold to define a de Rham cohomology class. Furthermore, we analyzed the non-triviality of this cohomology class In the end, we construct two examples which enable better expressing the main results.
De Rham cohomology group metallic Riemannian manifold hemi-slant submanifold Riemannian submanifold
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Early Pub Date | July 23, 2022 |
Publication Date | October 31, 2022 |
Acceptance Date | October 3, 2022 |
Published in Issue | Year 2022 Volume: 15 Issue: 2 |