On the product of affine manifolds and the generalized de Rham splitting theorem
type: Item
instance of: scholarly article
title: On the product of affine manifolds and the generalized de Rham splitting theorem
zbMATH Open document ID: 0799.53015
DOI: 10.1007/BF01875878
author: E. I. Major
published in: Periodica Mathematica Hungarica
publication date: 1994-03-01T00:00:00Z
review text: A de Rham decomposition theorem for arbitrary affine connections, satisfying a certain curvature condition, is proved. This generalizes the theorems of de Rham or \textit{S. Kobayashi} and \textit{K. Nomizu} [Foundations of differential geometry, Vols. I and II, Interscience (New York 1963; Zbl 0119.375 and 1969; Zbl 0175.485)]. The very elaborate proof follows closely that from the book cited above.
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 508822
zbMATH Keywords: de Rham decomposition theorem
zbMATH Keywords: affine connections
reviewed by: Mihai Anastasiei
MaRDI profile type: Publication
cites work: A theorem on affine connexions
cites work: On the reducibility of an affinely connected manifold
cites work: Q5731354
cites work: The de Rham product decomposition
cites work: Sur la réductibilité d'un espace de Riemann
cites work: On the de Rham decomposition theorem
cites work: Decomposition of Riemannian manifolds
description: scientific article; zbMATH DE number 508822