| dc.creator | Pal, Buddhadev | |
| dc.creator | Kumar, Santosh | |
| dc.creator | Kumar, Pankaj | |
| dc.date | 2022-12-21 | |
| dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3211 | |
| dc.identifier | 10.56754/0719-0646.2403.0485 | |
| dc.description | We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, \(M = M_1 \times_{f_1} M_2\) for the cases, \((i)\) \(M_1\) is a Lie group \((ii)\) \(M_2\) is a Lie group and \((iii)\) both \(M_1\) and \(M_2\) are Lie groups. Moreover, we obtain the conditions for an Einstein warped product of Lie groups to become a simple product manifold. Then, we characterize the warping function for generalized Robertson-Walker spacetime, \((M = I \times_{f_1} G_2, - dt^2 + f_1^2 g_2)\) whose fiber \(G_2\), being semi-simple compact Lie group of \(\dim G_2>2\), having bi-invariant metric, coming from the Killing form. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3211/2262 | |
| dc.rights | Copyright (c) 2022 B. Pal et al. | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 24 No. 3 (2022); 485–500 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 24 Núm. 3 (2022); 485–500 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Einstein space | en-US |
| dc.subject | warped product | en-US |
| dc.subject | Lie group | en-US |
| dc.subject | bi-invariant metric | en-US |
| dc.subject | Killing form | en-US |
| dc.title | Einstein warped product spaces on Lie groups | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
