Homogeneous almost para-Hermitian structures
type: Item
instance of: scholarly article
title: Homogeneous almost para-Hermitian structures
zbMATH Open document ID: 0826.53042
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-12-04T00:00:00Z
review text: Let \((M,g)\) be a simply connected pseudo-Riemannian manifolds and \(J\) an almost product structure behaving as an anti-isometry. A homogeneous almost para-Hermitian structure is a (1,2)-tensor field \(S\) such that \(g\), \(R\), \(S\) and \(J\) are parallel under the action of the connection \(\widetilde {\nabla} = \nabla - S\) (we denote by \(\nabla\) the Levi-Civita connection of \(g\) and by \(R\) the curvature tensor of \(\nabla)\). In this paper, the classification of homogeneous almost para-Hermitian manifolds is given, by using previous results of the authors concerning the decomposition of some tensor spaces under the action of the pseudo- orthogonal group. Finally, some examples for the respective structures are given.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 760298
zbMATH Keywords: almost product structure
zbMATH Keywords: anti-isometry
zbMATH Keywords: homogeneous almost para- Hermitian structure
zbMATH Keywords: pseudo-orthogonal group
author: P. M. Gadea
author: J. A. Oubiña
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 760298