(2013) Carriazo Rubio, Alfonso; Martín Molina, Verónica; Universidad de Sevilla. Departamento de Geometría y Topología; Universidad de Sevilla. FQM327: Geometría (Semi) Riemanniana y Aplicaciones; Universidad de Sevilla. FQM226: Grupo de Investigación en Educación Matemática
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.
