| dc.creator | Caroca, Ricardo | |
| dc.creator | Kondrashuk, Igor | |
| dc.creator | Merino, Nelson | |
| dc.creator | Nadal, Felipe | |
| dc.date | 2015-11-19T15:50:43Z | |
| dc.date | 2015-11-19T15:50:43Z | |
| dc.date | 2013 | |
| dc.identifier | Journal of physics a mathematical and theoretical 46 | |
| dc.identifier | 1751-8121 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/312 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | In this paper we show that some 3-dimensional isometry algebras, specifically those of type I, II, III and V ( according Bianchi’s classification), can be obtained as expansions of the isometries in 2 dimensions. It is shown that in general more than one semigroup will lead to the same result. It is impossible to obtain the algebras of type IV, VI-IX as an expansion from the isometry algebras in 2 dimensions. This means that the first set of algebras has properties that can be obtained from isometries in 2 dimensions while the second set has properties that are in some sense intrinsic in 3 dimensions. All the results are checked with computer programs. This procedure can be generalized to higher dimensions, which could be useful for diverse physical applications. | |
| dc.language | en | |
| dc.publisher | Inspire | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | http://goo.gl/bGzX6y | |
| dc.subject | Isometries | |
| dc.subject | S-expansions | |
| dc.title | Bianchi spaces and their 3 -dimensional isometries as S -expansions of 2 -dimensional isometries | |
| dc.type | Artículos de revistas | |
