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A stability theorem for foliations with singularities

100%

Piątkowski A.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction...........................................................................................5 1. Preliminaries.....................................................................................6 2. Chains along a curve......................................................................14 3. Some topological properties of foliations with singularities..............22 4. Holonomy group of a leaf................................................................23 5. A stability theorem...........................................................................34 6. The case of foliations without singularities......................................44 References.........................................................................................48

The *-holonomy group of the Stefan suspension of a diffeomorphism

96%

Piątkowski A.

Annales Polonici Mathematici

1993

tom 58

nr 2

123-129

The definition of a Stefan suspension of a diffeomorphism is given. If $𝓖_g$ is the Stefan suspension of the diffeomorphism g over a Stefan foliation 𝓖, and G₀ ∈ 𝓖 satisfies the condition $g|G₀ = id_{G₀}$, then we compute the *-holonomy group for the leaf $F₀ ∈ 𝓖_g$ determined by G₀. A representative element of the *-holonomy along the standard imbedding of S¹ into F₀ is characterized. A corollary for the case when G₀ contains only one point is derived.

Ograniczanie wyników

1 Annales Polonici Mathematici

2 Piątkowski A.

1 1993

1 1988

Wyniki wyszukiwania

A stability theorem for foliations with singularities

The *-holonomy group of the Stefan suspension of a diffeomorphism