Name: An algebraic model of almost transitive differential geometry
Creator: P. Ja. Grushko
Keywords: 03 medical and health sciences, 0302 clinical medicine, infinitesimal automorphisms, filtered Lie algebras, Topological transformation groups, Lie algebras and Lie superalgebras, 0101 mathematics, \(G\)-structures, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1993 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes, volume 54, pages 1,106-1,112 (issn: 0001-4346, eissn: 1573-8876,

Authors: P. Ja. Grushko;

doi: 10.1007/bf01208388

An algebraic model of almost transitive differential geometry

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Abstract

The author develops an interesting algebraic model for the theory of \(G\)- structures whose Lie algebra of infinitesimal automorphisms is transitive. Some ideas of the author's approach are analogous to the theory of filtered Lie algebras described by \textit{V. W. Guillemin} and \textit{S. Sternberg} [Bull. Am. Math. Soc. 70, 16-47 (1964; Zbl 0121.388)].

Related Organizations

Irkutsk State University
Russian Federation

Keywords

infinitesimal automorphisms, filtered Lie algebras, Topological transformation groups, Lie algebras and Lie superalgebras, \(G\)-structures

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