Classes caractéristiques non triviales des feuilles de sous- feuilletages localement homogènes. (Non-trivial characteristic classes of leaves of locally homogeneous subfoliations)
type: Item
instance of: scholarly article
title: Classes caractéristiques non triviales des feuilles de sous- feuilletages localement homogènes. (Non-trivial characteristic classes of leaves of locally homogeneous subfoliations)
zbMATH Open document ID: 0663.57014
DOI: 10.1007/BF00147454
author: Demetrio Domínguez
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: Let M be a differential manifold and \((F_ 1,F_ 2)\) be a couple of codimension \(q_ i\) foliations on M such that each leaf of \(F_ 1\) contains leaves of \(F_ 2\). The couple \((F_ 1,F_ 2)\) is called a subfoliation of codimension \((q_ 1,q_ 2)\) on M. Each pair \((L_ 1,L_ 2)\) of leaves of \(F_ i\) such that \(L_ 2\subset L_ 1\) is said to be a leaf of \((F_ 1,F_ 2)\). The author describes the computation of the secondary characteristic classes and of the holonomy classes for the leaves of locally homogeneous subfoliations. As an application, the author gives some examples of locally homogeneous subfoliations with non- trivial secondary characteristic classes, respectively holonomy classes of a leaf \((L_ 1,L_ 2)\), which cannot be obtained if one considers each leaf separately.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 4084583
zbMATH Keywords: foliations
zbMATH Keywords: subfoliation
zbMATH Keywords: leaves
zbMATH Keywords: secondary characteristic classes
zbMATH Keywords: holonomy classes
zbMATH Keywords: locally homogeneous subfoliations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4084583