Differential geometric connection of finite order on composite manifold, infinitesimal polygons and geometric interpretation of Bianchi identity
type: Item
instance of: scholarly article
title: Differential geometric connection of finite order on composite manifold, infinitesimal polygons and geometric interpretation of Bianchi identity
zbMATH Open document ID: 0766.53009
DOI: 10.1016/0034-4877(91)90029-M
author: D. Yu. Glazkov
published in: Reports on Mathematical Physics
publication date: 1993-01-17T00:00:00Z
review text: Let \(\Gamma\) be a higher order connection in the sense of \textit{V. V. Vagner} [Tr. Semin. Vektorn. Tensorn. Anal., Prilozh. Geom. Mekh. Fiz. 8, 11--72 (1950; Zbl 0041.29801)]. The author deduces several properties of the infinitesimal holonomy group of \(\Gamma\). In particular, his approach leads to a geometric interpretation of the Bianchi identity of \(\Gamma\).
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 97855
zbMATH Keywords: higher order connection
zbMATH Keywords: infinitesimal holonomy group
Wikidata QID: Q115364216
MaRDI profile type: Publication
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full work available at URL: 0034-4877(91)90029-m
OpenAlex ID: W2139483390
reviewed by: Ivan Kolář
description: scientific article; zbMATH DE number 97855