Quaternion functions and four-dimensional Riemannian metrics

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorMachado, J. M.-
Autor(es): dc.creatorBorges, M. F.-
Data de aceite: dc.date.accessioned2025-08-21T16:55:46Z-
Data de disponibilização: dc.date.available2025-08-21T16:55:46Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2005-01-01-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/224616-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/224616-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptionUNESP - State University of São Paulo at São José do Rio Preto Department of Computing, 15054-000 - Sao Jose do Rio Preto-
Descrição: dc.descriptionUNESP - State University of São Paulo at São José do Rio Preto Department of Computing, 15054-000 - Sao Jose do Rio Preto-
Formato: dc.format15-31-
Idioma: dc.languageen-
Relação: dc.relationCommunications in Applied Analysis-
???dc.source???: dc.sourceScopus-
Título: dc.titleQuaternion functions and four-dimensional Riemannian metrics-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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