The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space

We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ, µ, ν)-spaces. We present examples or obstruction re...

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Detalles Bibliográficos
Autores: Carriazo Rubio, Alfonso, Martín Molina, Verónica
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/85390
Acceso en línea:https://hdl.handle.net/11441/85390
https://doi.org/10.1007/s00009-013-0246-4
Access Level:acceso abierto
Palabra clave:Generalized (κ, μ)-spaces
(κ, μ, ν)-space
Almost cosymplectic
Almost Kenmotsu
Descripción
Sumario:We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ, µ, ν)-spaces. We present examples or obstruction results of these spaces in all possible cases.