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Artículo
The curvature tensor of (κ,μ,ν)-contact metric manifolds
(Springer, 2015-07)
We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the ...
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
Generalized (κ, µ)-space forms and d-homothetic deformations
(2011)
We study the Da-homothetic deformations of generalized (κ, µ)- space forms. We prove that the deformed spaces are again generalized (κ, µ)-space forms in dimension 3, but not in general, although a slight change in their ...
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
Null pseudo-isotropic Lagrangian surfaces
(Polish Academy of Sciences, Institute of Mathematics, 2017)
In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all ...
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 ...