A classification of certain almost alpha-Kenmotsu manifolds

Torna indietro

Abstract

We study D-homothetic deformations of almost alpha-Kenmotsu structures. We characterize almost contact metric manifolds which are CR-integrable almost alpha-Kenmotsu manifolds, through the existence of a canonical linear connection, invariant under D-homothetic deformations. If the canonical connection associated to the structure (phi, xi, eta, g) has parallel torsion and curvature, then the local geometry is completely determined by the dimension of the manifold and the spectrum of the operator h' defined by 2 alpha h' = (L xi phi) o phi. In particular, the manifold is locally equivalent to a Lie group endowed with a left invariant almost alpha-Kenmotsu structure. In the case of almost a-Kenmotsu (k, mu)'-spaces, this classification gives rise to a scalar invariant depending on the real numbers K and alpha.

Autore Pugliese

Tutti gli autori

  • DILEO G.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2011

ISSN

0386-5991

ISBN

Non Disponibile

Numero di citazioni Wos

5

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

6

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile