Almost Kenmotsu manifolds with a condition of \(\eta \)-parallelism
type: Item
instance of: scholarly article
title: Almost Kenmotsu manifolds with a condition of \(\eta \)-parallelism
zbMATH Open document ID: 1183.53024
author: Giulia Dileo
author: Anna Maria Pastore
published in: Differential Geometry and its Applications
publication date: 2009-10-13T00:00:00Z
review text: The authors study almost Kenmotsu manifolds \((M^{2n+1},\varphi,\xi,\eta,g) \) with \(\eta\)-parallel tensor \(h'=h\circ\varphi\), where \(2h=L_\xi\varphi\) and \(L\) denotes the Lie derivative. They show that \(\eta\)-parallelism of \(h'\) does not imply the CR-integrability of the structure. They also study the case that \(h'\) is \(\eta\)-parallel and the eigenvalue 0 of \(h\) has multiplicity \(>1\) .
reviewed by: Cihan Özgür
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 5614681
zbMATH Keywords: almost Kenmotsu manifolds
zbMATH Keywords: \(\eta\)-parallel structures
zbMATH Keywords: light-like structures
MaRDI profile type: Publication
full work available at URL: j.difgeo.2009.03.007
OpenAlex ID: W1995118478
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Wikidata QID: Q115357279
DOI: 10.1016/J.DIFGEO.2009.03.007
description: scientific article; zbMATH DE number 5614681