Geometry of certain first order differential operators and its applications to general connections
type: Item
instance of: scholarly article
title: Geometry of certain first order differential operators and its applications to general connections
zbMATH Open document ID: 0661.53010
author: Naoto Abe
published in: Kodai Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Let V and W be two vector bundles over M and \(P\in Hom(V,W).\) The author initiates a study of some first order differential operators from V to W with respect to P. These operators are generalizations of the operators of covariant derivatives induced by general connections [see \textit{T. Otsuki}, Math. J. Okayama Univ. 8, 143-180 (1958; Zbl 0197.481)]. Then the theory developed for such operators is applied to a theory of vector subbundles of a vector bundle endowed with a general connection.
Mathematics Subject Classification ID: 53B15
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 4080297
zbMATH Keywords: vector subbundles
zbMATH Keywords: vector bundle
zbMATH Keywords: general connection
reviewed by: Aurel Bejancu
Wikidata QID: Q115224591
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138038873
OpenAlex ID: W1998555010
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DOI: 10.2996/KMJ/1138038873
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description: scientific article; zbMATH DE number 4080297