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Mostrando ítems 1-10 de 12
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
A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces
(Springer, 2018)
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx invariant I ≤ −1. In particular, we prove that such submanifolds must be, up to local isometries, ...
Artículo
The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space
(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
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.
Tesis Doctoral
(k, µ)-Espacios de Curvatura Ø-Seccional constante generalizados
(2011)
A lo largo de los años, numerosos autores han estudiado la forma del tensor de curvatura de una variedad Riemanniana para intentar clasificarla. Buena parte de los trabajos que han aparecido sobre la materia son los que ...
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 ...
Ponencia
The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces
(2013)
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 ...
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 ...