dc.contributorUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T20:01:33Z
dc.date.accessioned2022-12-20T01:51:43Z
dc.date.available2022-04-28T20:01:33Z
dc.date.available2022-12-20T01:51:43Z
dc.date.created2022-04-28T20:01:33Z
dc.date.issued2005-01-01
dc.identifierCommunications in Applied Analysis, v. 9, n. 1, p. 15-31, 2005.
dc.identifier1083-2564
dc.identifierhttp://hdl.handle.net/11449/224616
dc.identifier2-s2.0-25844472369
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5404745
dc.description.abstractIn 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.languageeng
dc.relationCommunications in Applied Analysis
dc.sourceScopus
dc.titleQuaternion functions and four-dimensional Riemannian metrics
dc.typeArtículos de revistas


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