dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorBorges Neto, Manoel Ferreira
dc.creatorMarão, José Antônio Pires Ferreira
dc.date2014-05-27T11:27:06Z
dc.date2016-10-25T18:38:50Z
dc.date2014-05-27T11:27:06Z
dc.date2016-10-25T18:38:50Z
dc.date2012-10-09
dc.date.accessioned2017-04-06T02:02:07Z
dc.date.available2017-04-06T02:02:07Z
dc.identifierInternational Journal of Pure and Applied Mathematics, v. 79, n. 3, p. 453-464, 2012.
dc.identifier1311-8080
dc.identifierhttp://hdl.handle.net/11449/73658
dc.identifierhttp://acervodigital.unesp.br/handle/11449/73658
dc.identifier2-s2.0-84867075787.pdf
dc.identifier2-s2.0-84867075787
dc.identifierhttp://www.ijpam.eu/contents/2012-79-3/6/6.pdf
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/894452
dc.descriptionRiemann surfaces, cohomology and homology groups, Cartan's spinors and triality, octonionic projective geometry, are all well supported by Complex Structures [1], [2], [3], [4]. Furthermore, in Theoretical Physics, mainly in General Relativity, Supersymmetry and Particle Physics, Complex Theory Plays a Key Role [5], [6], [7], [8]. In this context it is expected that generalizations of concepts and main results from the Classical Complex Theory, like conformal and quasiconformal mappings [9], [10] in both quaternionic and octonionic algebra, may be useful for other fields of research, as for graphical computing enviromment [11]. In this Note, following recent works by the autors [12], [13], the Cauchy Theorem will be extended for Octonions in an analogous way that it has recentely been made for quaternions [14]. Finally, will be given an octonionic treatment of the wave equation, which means a wave produced by a hyper-string with initial conditions similar to the one-dimensional case.
dc.languageeng
dc.relationInternational Journal of Pure and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCauchy integral
dc.subjectHypercomplex
dc.subjectQuaternions
dc.titleGeometrical wave equation and the cauchy-like theorem for octonions
dc.typeOtro


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