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BIANCHI SPACES AND THEIR THREE-DIMENSIONAL ISOMETRIES AS S-EXPANSIONS OF TWO-DIMENSIONAL ISOMETRIES

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dc.creatorIGOR NIKOLAEVICH KONDRACHOUK
dc.date2013
dc.date.accessioned2025-01-10T14:32:47Z
dc.date.available2025-01-10T14:32:47Z
dc.date.issued2013
dc.description.abstractIN 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.formatapplication/pdf
dc.identifier.doi10.1088/1751-8113/46/22/225201
dc.identifier.issn1751-8121
dc.identifier.issn1751-8113
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7901
dc.languagespa
dc.publisherJournal of Physics A-Mathematical and Theoretical
dc.relation.uri10.1088/1751-8113/46/22/225201
dc.rightsPUBLICADA
dc.titleBIANCHI SPACES AND THEIR THREE-DIMENSIONAL ISOMETRIES AS S-EXPANSIONS OF TWO-DIMENSIONAL ISOMETRIES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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