Differential formes over the projective real space under a general linear group action
type: Item
instance of: scholarly article
title: Differential formes over the projective real space under a general linear group action
zbMATH Open document ID: 0852.58001
DOI: 10.1007/BF02566013
author: Pierre-Yves Gaillard
published in: Commentarii Mathematici Helvetici
publication date: 1996-12-09T00:00:00Z
full work available at URL: https://eudml.org/doc/140374
review text: It is shown that the only subspaces of the space of \(p\)-forms on the real projective space which are invariant under projective transforms and closed for the \(C^\infty \) topology are the following ones: the zero subspace, the subspace of closed forms, and the space itself. The analogous problem for the sphere is also solved. See also \textit{B. Gruber} and \textit{A. U. Klimyk}, J. Math. Phys. 22, No. 12, 2762-2769 (1981; Zbl 0485.22021), \textit{A. Haefliger} and \textit{L. Banghe}, Lect. Notes Math. 1007, 369-378 (1983; Zbl 0542.58004), \textit{N. R. Wallach}, `Real reductive groups. II.', Boston: Acadmic Press (1992; Zbl 0785.22001), and \textit{R. E. Howe} and \textit{E.-C. Tan}, Bull. Am. Math. Soc., New Ser. 28, No. 1, 1-74 (1993; Zbl 0794.22012).
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 58A10
Mathematics Subject Classification ID: 53A20
zbMATH DE Number: 838576
zbMATH Keywords: \(p\)-forms
zbMATH Keywords: projective transforms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 838576