Geodesic Mappings of Special Riemannian Manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913488984604672 |
|---|---|
| author | Çoraplı, Ahmet Umut Canfes, Elİf Özkara |
| author_facet | Çoraplı, Ahmet Umut Canfes, Elİf Özkara |
| contents | In this paper, we will investigate the geodesic mappings of some special Riemannian manifolds. First, we will prove that if there exists an Einstein tensor preserving geodesic mapping from a quasi Einstein manifold $V_{n}$ onto a Riemannian manifold $\bar{V}_{n}$, then $\bar{V}_{n}$ is nearly quasi Einstein. Furthermore, we will obtain new results concerning the geodesic mappings of Ricci recurrent and Ricci symmetric manifolds. Next, by using these results, we will investigate the geodesic mappings of pseudo Ricci symmetric and almost pseudo Ricci symmetric manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_10094 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Geodesic Mappings of Special Riemannian Manifolds Çoraplı, Ahmet Umut Canfes, Elİf Özkara Differential Geometry 53B20 (Primary), 53C25 (Secondary) In this paper, we will investigate the geodesic mappings of some special Riemannian manifolds. First, we will prove that if there exists an Einstein tensor preserving geodesic mapping from a quasi Einstein manifold $V_{n}$ onto a Riemannian manifold $\bar{V}_{n}$, then $\bar{V}_{n}$ is nearly quasi Einstein. Furthermore, we will obtain new results concerning the geodesic mappings of Ricci recurrent and Ricci symmetric manifolds. Next, by using these results, we will investigate the geodesic mappings of pseudo Ricci symmetric and almost pseudo Ricci symmetric manifolds. |
| title | Geodesic Mappings of Special Riemannian Manifolds |
| topic | Differential Geometry 53B20 (Primary), 53C25 (Secondary) |
| url | https://arxiv.org/abs/2112.10094 |