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

100%

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.

Affinely equivalent complete flat manifolds

88%

Sadowski M.

Open Mathematics

2004

tom 2

nr 2

332-338

Let E Aff(Γ,G, m) be the set of affine equivalence classes of m-dimensional complete flat manifolds with a fixed fundamental group Γ and a fixed holonomy group G. Let n be the dimension of a closed flat manifold whose fundamental group is isomorphic to Γ. We describe E Aff(Γ,G, m) in terms of equivalence classes of pairs (ε, ρ), consisting of epimorphisms of Γ onto G and representations of G in ℝm-n. As an application we give some estimates of card E Aff(Γ,G, m).

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

1 Piątkowski A.

1 Sadowski M.

1 2004

1 1993

Wyniki wyszukiwania

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

Affinely equivalent complete flat manifolds