On a generalization of the boundle of linear frames
type: Item
instance of: scholarly article
title: On a generalization of the boundle of linear frames
zbMATH Open document ID: 1072.58001
DOI: 10.1007/BF02871454
author: Irina Ana Calinov
publication date: 2005-10-19T00:00:00Z
review text: The author constructs a generalization of the bundle of linear frames on a manifold \(M\). Such a bundle turns out to be a principal bundle on the product \(M\times G_{n,p}\), where \(G_{n,p}\) is the Grassmann manifold of \(p\)-dimensional subspaces in \(\mathbb R^n\). Some considerations on connections on the above bundle are also provided. The above construction seems to be closely related to the construction of the manifold of contact elements [see \textit{I. Kolář, P. Michor} and \textit{J. Slovák}, Natural operations in differential geometry, Springer-Verlag (1993; Zbl 0782.53013)].
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 2216100
MaRDI profile type: Publication
cites work: Q5731354
full work available at URL: https://doi.org/10.1007/bf02871454
OpenAlex ID: W2040698527
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article