The *-holonomy group of the Stefan suspension of a diffeomorphism
Andrzej Piątkowski
Annales Polonici Mathematici, Tome 58 (1993), p. 123-129 / Harvested from The Polish Digital Mathematics Library

The definition of a Stefan suspension of a diffeomorphism is given. If g is the Stefan suspension of the diffeomorphism g over a Stefan foliation , and G₀ ∈ satisfies the condition g|G=idG, then we compute the *-holonomy group for the leaf Fg 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.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:262509
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     title = {The *-holonomy group of the Stefan suspension of a diffeomorphism},
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     year = {1993},
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Andrzej Piątkowski. The *-holonomy group of the Stefan suspension of a diffeomorphism. Annales Polonici Mathematici, Tome 58 (1993) pp. 123-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv58z2p123bwm/

[000] [1] C. Ehresmann, Structures feuilletées, in: Proc. 5th Canad. Math. Congress, Montréal 1961, 109-172.

[001] [2] A. Piątkowski, A stability theorem for foliations with singularities, Dissertationes Math. 267 (1988). | Zbl 1003.57500

[002] [3] A. Piątkowski, On the *-holonomy of the inverse image of a Stefan foliation, Acta Univ. Lodz. Folia Math., to appear. | Zbl 0832.57016

[003] [4] P. Stefan, Accessible sets, orbits and foliations with singularities, Proc. London Math. Soc. 29 (1974), 699-713. | Zbl 0342.57015

[004] [5] P. Ver Eecke, Le groupoïde fondamental d'un feuilletage de Stefan, Publ. Sem. Mat. García de Galdeano, Ser. II, Sec. 3, No. 6, Universidad de Zaragoza, 1986. | Zbl 0607.57019