Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds
The objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds. Different cases when the potential of the soliton is the Reeb vector field or pointwise collinear to it are considered. Some additional...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/12/2267 |
| _version_ | 1797500365014302720 |
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| author | Hristo Manev |
| author_facet | Hristo Manev |
| author_sort | Hristo Manev |
| collection | DOAJ |
| description | The objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds. Different cases when the potential of the soliton is the Reeb vector field or pointwise collinear to it are considered. Some additional geometric properties of the constructed objects are proven. Results for a parallel symmetric second-order covariant tensor on the considered manifolds are obtained. An explicit example of dimension 5 in support of the given assertions is provided. |
| first_indexed | 2024-03-10T03:00:47Z |
| format | Article |
| id | doaj.art-4fa403ddd5264518a2b20bae4d121be5 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T03:00:47Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4fa403ddd5264518a2b20bae4d121be52023-11-23T10:44:34ZengMDPI AGSymmetry2073-89942021-11-011312226710.3390/sym13122267Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-ManifoldsHristo Manev0Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University of Plovdiv, 15A Vasil Aprilov Blvd, 4002 Plovdiv, BulgariaThe objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds. Different cases when the potential of the soliton is the Reeb vector field or pointwise collinear to it are considered. Some additional geometric properties of the constructed objects are proven. Results for a parallel symmetric second-order covariant tensor on the considered manifolds are obtained. An explicit example of dimension 5 in support of the given assertions is provided.https://www.mdpi.com/2073-8994/13/12/2267para-Ricci-like solitonpara-Sasaki-likeRiemannian Π-manifoldsvertical potentialEinstein manifoldRicci symmetric manifold |
| spellingShingle | Hristo Manev Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds Symmetry para-Ricci-like soliton para-Sasaki-like Riemannian Π-manifolds vertical potential Einstein manifold Ricci symmetric manifold |
| title | Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds |
| title_full | Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds |
| title_fullStr | Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds |
| title_full_unstemmed | Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds |
| title_short | Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds |
| title_sort | para ricci like solitons with vertical potential on para sasaki like riemannian π manifolds |
| topic | para-Ricci-like soliton para-Sasaki-like Riemannian Π-manifolds vertical potential Einstein manifold Ricci symmetric manifold |
| url | https://www.mdpi.com/2073-8994/13/12/2267 |
| work_keys_str_mv | AT hristomanev parariccilikesolitonswithverticalpotentialonparasasakilikeriemannianpmanifolds |