A global characterization of jet bundles of \(p^ 1\)-velocities and covelocities
type: Item
instance of: scholarly article
title: A global characterization of jet bundles of \(p^ 1\)-velocities and covelocities
zbMATH Open document ID: 0846.53019
author: Manuel de León
author: Eugenio Merino
author: J. A. Oubiña
author: M. Salgado
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1995-12-10T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73345
review text: The authors first give the notion of \(p\)-almost tangent structures on a smooth \((p + 1)n\)-dimensional manifold \(M\) and give the global characterization of the tangent bundle of \(p^1\)-velocities in terms of the integrability of \(p\)-almost tangent structures. Next, the authors give similar notions of \(p\)-almost cotangent bundles and the global characterization of cotangent bundles of \(p^1\)-covelocities. For the proofs the authors use the characterization of vector bundles by \textit{T. Nagano} [J. Differ. Geom. 2, 253-264 (1968; Zbl 0172.46903)].
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 824190
zbMATH Keywords: \(p\)-almost tangent structures
zbMATH Keywords: tangent bundle of \(p^ 1\)-velocities
zbMATH Keywords: \(p^ 1\)-covelocities
reviewed by: Akihiko Morimoto
MaRDI profile type: Publication
OpenAlex ID: W2330007078
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DOI: 10.5802/AFST.792
description: scientific article; zbMATH DE number 824190