A Note on Solitons with Generalized Geodesic Vector Field
We consider a general notion of an almost Ricci soliton and establish some curvature properties for the case in which the potential vector field of the soliton is a generalized geodesic or a 2-Killing vector field. In this vein, we characterize trivial generalized Ricci solitons.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-06-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/7/1104 |
| id |
doaj-9f6474b986f3445c9b1e420fe8ab890b |
|---|---|
| record_format |
Article |
| spelling |
doaj-9f6474b986f3445c9b1e420fe8ab890b2021-07-23T14:08:54ZengMDPI AGSymmetry2073-89942021-06-01131104110410.3390/sym13071104A Note on Solitons with Generalized Geodesic Vector FieldAdara M. Blaga0Amira Ishan1Sharief Deshmukh2Department of Mathematics, West University of Timisoara, Bd. V. Parvan, No. 4, 300223 Timisoara, RomaniaDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider a general notion of an almost Ricci soliton and establish some curvature properties for the case in which the potential vector field of the soliton is a generalized geodesic or a 2-Killing vector field. In this vein, we characterize trivial generalized Ricci solitons.https://www.mdpi.com/2073-8994/13/7/1104Ricci solitongeneralized geodesic vector field |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Adara M. Blaga Amira Ishan Sharief Deshmukh |
| spellingShingle |
Adara M. Blaga Amira Ishan Sharief Deshmukh A Note on Solitons with Generalized Geodesic Vector Field Symmetry Ricci soliton generalized geodesic vector field |
| author_facet |
Adara M. Blaga Amira Ishan Sharief Deshmukh |
| author_sort |
Adara M. Blaga |
| title |
A Note on Solitons with Generalized Geodesic Vector Field |
| title_short |
A Note on Solitons with Generalized Geodesic Vector Field |
| title_full |
A Note on Solitons with Generalized Geodesic Vector Field |
| title_fullStr |
A Note on Solitons with Generalized Geodesic Vector Field |
| title_full_unstemmed |
A Note on Solitons with Generalized Geodesic Vector Field |
| title_sort |
note on solitons with generalized geodesic vector field |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-06-01 |
| description |
We consider a general notion of an almost Ricci soliton and establish some curvature properties for the case in which the potential vector field of the soliton is a generalized geodesic or a 2-Killing vector field. In this vein, we characterize trivial generalized Ricci solitons. |
| topic |
Ricci soliton generalized geodesic vector field |
| url |
https://www.mdpi.com/2073-8994/13/7/1104 |
| work_keys_str_mv |
AT adaramblaga anoteonsolitonswithgeneralizedgeodesicvectorfield AT amiraishan anoteonsolitonswithgeneralizedgeodesicvectorfield AT shariefdeshmukh anoteonsolitonswithgeneralizedgeodesicvectorfield AT adaramblaga noteonsolitonswithgeneralizedgeodesicvectorfield AT amiraishan noteonsolitonswithgeneralizedgeodesicvectorfield AT shariefdeshmukh noteonsolitonswithgeneralizedgeodesicvectorfield |
| _version_ |
1721285650555076608 |