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Mostrando ítems 1-5 de 5
Artículo
Generalized (κ,μ)-space forms
(Springer, 2013-02)
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.
Artículo
Bochner and conformal flatness on normal complex contact metric manifolds
(Springer, 2010-10-10)
We will prove that normal complex contact metric manifolds that are Bochner flat must have constant holomorphic sectional curvature 4 and be Kähler. If they are also complete and simply connected, they must be isometric ...
Artículo
Sasaki-Einstein and paraSasaki-Einstein metrics from (κ,μ)-structures
(Elsevier, 2013-11)
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 ...
Artículo
Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces
(Springer, 2013-08)
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 ...
Artículo
Optimal inequalities, contact delta-invariants and their applications
(Malaysian Mathematical Sciences Society, 2013)
Associated with a k-tuple (n1, . . . , nk) ∈ S(2n + 1) with n ≥ 1, we define a contact δ-invariant, δc (n1, . . . , nk), on an almost contact metric (2n + 1)-manifold M. For an arbitrary isometric immersion of M into a ...