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ArticleOriginal scientific text

Title

On Lie algebras of vector fields related to Riemannian foliations

Authors 1

Affiliations

  1. Institute of Mathematics, Pedagogical University, Rejtana 16a, 35-310 Rzeszów, Poland

Abstract

Riemannian foliations constitute an important type of foliated structures. In this note we prove two theorems connecting the algebraic structure of Lie algebras of foliated vector fields with the smooth structure of a Riemannian foliation.

Keywords

ENG
Riemannian foliation, Lie algebra, ideal, isomorphism, vector field, generalized manifold, stratification

Bibliography

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Annales Polonici Mathematici
1993/58/2
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Pages:
111-122
Main language of publication
English
Received
1990-10-05
Accepted
1992-05-20
Published
1993
Exact and natural sciences