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pro vyhledávání: '"GILBERT HECTOR"'
Publikováno v:
Indagationes Mathematicae. 21(3-4):212-220
Let ( M , F ) be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms Ω b ∗ ( M , F ) of the foliation and the “De Rham complex” of the space of leaves M / F when considered as a “diffeol
Publikováno v:
Ergodic Theory and Dynamical Systems. 24:1097-1108
For each of the following properties, there is an isometric generalized interval exchange transformation (i.e. isometric GIET) having such property: (a) non-trivial recurrence orbits are exceptional and the union of them is a dense set, moreover the
Autor:
Gilbert Hector
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319046747
In this paper we deal with two types of questions concerning the structure of foliations (or laminations) on compact spaces: 1. Describe generic properties of foliations and laminations and refine the known ones, 2. Discuss the embeddability of n-dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a5110e6c1090c7417190c991c023412
https://doi.org/10.1007/978-3-319-04675-4_3
https://doi.org/10.1007/978-3-319-04675-4_3
Autor:
Gilbert Hector, Ulrich Hirsch
'The book...is a storehouse of useful information for the mathematicians interested in foliation theory.'(John Cantwell, Mathematical Reviews 1992)
Autor:
Marta Macho-Stadler, Gilbert Hector
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 325:1015-1018
Resume Grâce a la representation du groupoide d'holonomie d'un feuilletage presque sans holonomie, comme graphe de groupes abeliens, on va montrer que ces feuilletages verifient la conjecture de Baum-Connes dans une version analogue a celle utilisee
Autor:
F. Alcalde Cuesta, Gilbert Hector
Publikováno v:
Monatshefte f�r Mathematik. 124:191-213
Surface foliations, vanishing cycles and Poisson manifolds. Afoliated cylinder of a foliated manifold (M,F) is a path of integral loopsct forF. Such a cylinder defines anon-trivial vanishing cyclec0 ifct is null-homotopic in its supportFt for eacht>0
Autor:
F. Alcalde Cuesta, Gilbert Hector
Publikováno v:
Israel Journal of Mathematics. 90:125-165
Asymplectic integration of a Poisson manifold (M, Λ) is a symplectic groupoid (Γ,η) whichrealizes the given Poisson manifold, i.e. such that the space of units Γ0 with the induced Poisson structure Λ0 is isomorphic to (M, Λ). This notion was in