The Cartan-Laptev method in the study of \(G\)-structures on manifolds
type: Item
instance of: scholarly article
title: The Cartan-Laptev method in the study of \(G\)-structures on manifolds
zbMATH Open document ID: 0933.53004
DOI: 10.1007/BF02414869
author: N. M. Ostianu
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-11-24T00:00:00Z
review text: The paper is a survey of results obtained by the large society of in differential geometers remaining under the great scientific influence of G. F. Laptev. Following S. P. Finikov, G. F. Laptev and his associates successfully applied É.~Cartan's method of exterior forms and of moving frames to study the general theory of geometric objects. The author keeps a traditional manner of presentation alive. The text is divided into three chapters: I. The Cartan method in differential-geometric studies, II. The Laptev method of differential-geometric studies, III. The Cartan-Laptev method in the study of the geometry of fiber manifolds. The work contains an extensive list of references (229 items) serving as a good guide for mathematicians interested in the field.
Mathematics Subject Classification ID: 53-02
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53A55
Mathematics Subject Classification ID: 58A15
zbMATH DE Number: 1226284
zbMATH Keywords: moving frames
zbMATH Keywords: fibre manifolds
reviewed by: Włodzimierz Waliszewski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1226284