Metrics of Kaluza–Klein type on the anti-de Sitter space 
Corresponding Author
Giovanni Calvaruso
Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Lecce, Italy
Corresponding author: e-mail: [email protected]Search for more papers by this authorDomenico Perrone
Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Lecce, Italy
e-mail: [email protected]
Search for more papers by this authorCorresponding Author
Giovanni Calvaruso
Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Lecce, Italy
Corresponding author: e-mail: [email protected]Search for more papers by this authorDomenico Perrone
Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Lecce, Italy
e-mail: [email protected]
Search for more papers by this authorAbstract
We introduce and study a new family of pseudo-Riemannian metrics 
on the anti-de Sitter three-space 
. These metrics will be called “of Kaluza-Klein type” , as they are induced in a natural way by the corresponding metrics defined on the tangent sphere bundle 
. For any choice of three real parameters 
, the pseudo-Riemannian manifold 
is homogeneous. Moreover, we shall introduce and study some natural almost contact and paracontact structures 
, compatible with 
, such that 
is a homogeneous almost contact (respectively, paracontact) metric structure. These structures will be then used to show the existence of a three-parameter family of homogeneous metric mixed 3-structures on the anti-de Sitter three-space.
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