Öz
We prove that the property of being pointwise slant is transitive on a class of proper pointwise slant submanifolds of almost product Riemannian manifolds, and illustrate this fact with an example. For a given almost product Riemannian manifold $(M_1,g,\varphi_1)$, we consider a sequence of pointwise slant submanifolds $(M_{i+1}\hookrightarrow M_i)_{i\in \mathbb{N}^*}$, and we explicitly determine the relation between the slant functions. Moreover, we state this result in a more general case.
Anahtar Kelimeler
Pointwise slant submanifold almost product Riemannian manifold anti-invariant submanifold
Kaynakça
- [1] Blaga, A.M.: New insights on slant submanifolds in almost Hermitian geometry. (2023). https://doi.org/10.48550/arXiv.2306.04982
- [2] Chen, B.-Y., Garay, O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turkish J. Math. 36, 630–640 (2012). https://doi.org/10.3906/mat-1101-34
- [3] Etayo, F.: On quasi-slant submanifolds of an almost Hermitian manifold. Publ. Math. Debrecen. 53(1-2), 217–223 (1998).
Öz
Kaynakça
- [1] Blaga, A.M.: New insights on slant submanifolds in almost Hermitian geometry. (2023). https://doi.org/10.48550/arXiv.2306.04982
- [2] Chen, B.-Y., Garay, O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turkish J. Math. 36, 630–640 (2012). https://doi.org/10.3906/mat-1101-34
- [3] Etayo, F.: On quasi-slant submanifolds of an almost Hermitian manifold. Publ. Math. Debrecen. 53(1-2), 217–223 (1998).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Cebirsel ve Diferansiyel Geometri |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Erken Görünüm Tarihi | 17 Ekim 2023 |
| Yayımlanma Tarihi | 29 Ekim 2023 |
| Kabul Tarihi | 12 Ağustos 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 16 Sayı: 2 |
