Abstract

We introduce and study a new family of pseudo-Riemannian metrics on the anti-de Sitter three-space $H^3_1$. 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 $T_1 H_2(κ)$. For any choice of three real parameters λ,μ, ν neq 0, the pseudo-Riemannian manifold $(H^3_1, g_λμν)$ is homogeneous. Moreover, we shall introduce and study some natural almost contact and paracontact structures (ϕ, ξ, η), compatible with $g_λμν$ , such that (ϕ, ξ, η, g_λμν) 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.

Autore Pugliese

• Perrone Domenico , Calvaruso Giovanni

Tutti gli autori

• G. Calvaruso , D. Perrone

Titolo volume/Rivista

MATHEMATISCHE NACHRICHTEN

Anno di pubblicazione

2014

ISSN

0025-584X

ISBN

Non Disponibile

Numero di citazioni Wos

4

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

3

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile