Algèbre de Lie attachée à la structure presque-tangente. (The Lie algebra associated to an almost tangent structure)
type: Item
instance of: scholarly article
title: Algèbre de Lie attachée à la structure presque-tangente. (The Lie algebra associated to an almost tangent structure)
zbMATH Open document ID: 0621.53030
DOI: 10.1007/BF00181317
published in: Geometriae Dedicata
publication date: 1987-01-01T00:00:00Z
review text: Let M be an n-dimensional differentiable manifold and TM its tangent bundle. Let J denote the canonical almost tangent structure on TM. The author studies the properties of the Lie algebra \(L_ M\) of infinitesimal automorphisms of (TM,J), that is, \(L_ M=\{A\in X(TM)| L_ AJ=0\}.\) The following result is proved: Let M and N be two connected and paracompact differentiable manifolds; if the Lie algebras \(L_ M\) and \(L_ N\) are isomorphic, then M and N are diffeomorphic.
reviewed by: Manuel de León
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C10
zbMATH DE Number: 4007161
zbMATH Keywords: almost tangent structure
zbMATH Keywords: infinitesimal automorphisms
zbMATH Keywords: Lie algebras
author: Tong van Duc
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00181317
OpenAlex ID: W2025978526
description: scientific article; zbMATH DE number 4007161