| Autor: |
Ghosh, Amalendu, Patra, Dhriti Sundar |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
J. Korean Math. Soc. 55 (2018), No. 1, pp. 161-174 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4134/JKMS.j170103 |
| Popis: |
The aim of this article is to study the k-almost Ricci soliton and k-almost gradient Ricci soliton on contact metric manifold. First, we prove that if a compact K-contact metric is a k-almost gradient Ricci soliton then it is isometric to a unit sphere S2n+1. Next, we extend this result on a compact k-almost Ricci soliton when the flow vector field X is contact. Finally, we study some special types of k-almost Ricci soliton where the potential vector field X is point wise collinear with the Reeb vector field {\xi} of the contact metric structure. |
| Databáze: |
arXiv |
| Externí odkaz: |
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