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
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Erken Görünüm Tarihi | 23 Temmuz 2022 |
Yayımlanma Tarihi | 31 Ekim 2022 |
Kabul Tarihi | 3 Ekim 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 15 Sayı: 2 |