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Generalized (κ,μ)-space forms [Article]
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures [Article]
We prove that every contact metric (κ, µ)-space admits a canonical η-Einstein Sasakian or η-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the ...
Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces [Article]
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 ...
New examples of generalized Sasakian-space-forms [Article]
(Università di Torino, 2015)
In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic ...