dc.contributor | Universidade Estadual Paulista (UNESP) | |
dc.date.accessioned | 2022-04-28T20:01:33Z | |
dc.date.accessioned | 2022-12-20T01:51:43Z | |
dc.date.available | 2022-04-28T20:01:33Z | |
dc.date.available | 2022-12-20T01:51:43Z | |
dc.date.created | 2022-04-28T20:01:33Z | |
dc.date.issued | 2005-01-01 | |
dc.identifier | Communications in Applied Analysis, v. 9, n. 1, p. 15-31, 2005. | |
dc.identifier | 1083-2564 | |
dc.identifier | http://hdl.handle.net/11449/224616 | |
dc.identifier | 2-s2.0-25844472369 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5404745 | |
dc.description.abstract | In this paper we discuss homeomorphic transformations of Riemannian metrics in four-dimensional Riemannian manifolds, and show that these transformations are related to the solutions of Beltrami-type systems of differentiable, quaternionic functions. It is introduced the concept of quaternionic factorization of metrics, and demonstrated that monogenic functions are a particular case in a larger class of quaternionic differentiable functions. This class is formed by the solutions of an homogeneous operator equation, constructed for any factorizable, Riemannian metric. © Dynamic Publishers, Inc. | |
dc.language | eng | |
dc.relation | Communications in Applied Analysis | |
dc.source | Scopus | |
dc.title | Quaternion functions and four-dimensional Riemannian metrics | |
dc.type | Artículos de revistas | |