| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Borges Neto, Manoel Ferreira | |
| dc.creator | Marão, José Antônio Pires Ferreira | |
| dc.date | 2014-05-27T11:27:06Z | |
| dc.date | 2016-10-25T18:38:50Z | |
| dc.date | 2014-05-27T11:27:06Z | |
| dc.date | 2016-10-25T18:38:50Z | |
| dc.date | 2012-10-09 | |
| dc.date.accessioned | 2017-04-06T02:02:07Z | |
| dc.date.available | 2017-04-06T02:02:07Z | |
| dc.identifier | International Journal of Pure and Applied Mathematics, v. 79, n. 3, p. 453-464, 2012. | |
| dc.identifier | 1311-8080 | |
| dc.identifier | http://hdl.handle.net/11449/73658 | |
| dc.identifier | http://acervodigital.unesp.br/handle/11449/73658 | |
| dc.identifier | 2-s2.0-84867075787.pdf | |
| dc.identifier | 2-s2.0-84867075787 | |
| dc.identifier | http://www.ijpam.eu/contents/2012-79-3/6/6.pdf | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/894452 | |
| dc.description | Riemann 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.language | eng | |
| dc.relation | International Journal of Pure and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Cauchy integral | |
| dc.subject | Hypercomplex | |
| dc.subject | Quaternions | |
| dc.title | Geometrical wave equation and the cauchy-like theorem for octonions | |
| dc.type | Otro | |