Symmetric cotangent bundles of spaces
type: Item
instance of: scholarly article
title: Symmetric cotangent bundles of spaces
zbMATH Open document ID: 0699.53039
DOI: 10.1007/BF00966631
author: E. Mazėtis
published in: Lithuanian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The structural equations of cotangent bundles \(T^*(V_ n)\) with linear and induced affine connections are pointed out. It is proved that in the symmetric case, if the covariant differentials of the torsion tensor and all curvature tensors are zero, there exists a Lie group the structural constants of which are determined by the curvature object of the space \(T^*(V_ n)\). This group is isomorphic with the group of motions of the \(T^*(V_ n)\).
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 4147016
zbMATH Keywords: structural equations
zbMATH Keywords: cotangent bundles
zbMATH Keywords: Lie group
zbMATH Keywords: curvature object
reviewed by: Kaarin Riives
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4147016