On Lie algebras of vector fields related to Riemannian foliations

• Autorzy: Tomasz Rybicki
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Riemannian foliation; Lie algebra; ideal; isomorphism; vector field; generalized manifold; stratification

Kategorie tematyczne

• 57R30: Foliations; geometric theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 2
• Strony: 111-122

Daty

wydano

1993

otrzymano

1990-10-05

poprawiono

1992-05-20

poprawiono

1992-09-14

Twórcy

autor

Tomasz Rybicki

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

Bibliografia

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