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The cerebellum has a unique morphology characterized by fine folds called folia. During cerebellar morphogenesis, folia formation (foliation) proceeds with granule cell (GC) proliferation in an external granular layer, and subsequent cell migration to an
Hironori TAKEDA +4 more
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Schlesinger Foliation for Deformations of Foliations [PDF]
In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.
openaire +3 more sources
Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna +1 more
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Bohmian Mechanics for a Degenerate Time Foliation [PDF]
The version of Bohmian mechanics in relativistic space-time that works best, the hypersurface Bohm--Dirac model, assumes a preferred foliation of space-time into spacelike hypersurfaces (called the time foliation) as given.
Struyve, Ward, Tumulka, Roderich
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Existence and smoothness of the stable foliation for sectional hyperbolic attractors [PDF]
We prove the existence of a contracting invariant topological foliation in a full neighbourhood for partially hyperbolic attractors. Under certain bunching conditions, it can then be shown that this stable foliation is smooth.
V. Araújo, I. Melbourne
semanticscholar +1 more source
On the inner automorphisms of a singular foliation [PDF]
A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold.
A. Garmendia, O. Yudilevich
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Foliation dependence of black hole apparent horizons in spherical symmetry [PDF]
Numerical studies of gravitational collapse to black holes make use of apparent horizons, which are intrinsically foliation dependent. We expose the problem and discuss possible solutions using the Hawking-Hayward quasilocal mass.
V. Faraoni +4 more
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In this paper, we set up two surgery theories and two kinds of Whitehead torsion for foliations. First, we construct a bounded surgery theory and bounded Whitehead torsion for foliations, which correspond to the Connes' foliation algebra in the K-theory of operator algebras, in the sense that there is an analogy between surgery theory and index theory,
Attie, Oliver, Cappell, Sylvain
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On singular Finsler foliation [PDF]
In this paper we introduce the concept of singular Finsler foliation, which generalizes the concepts of Finsler actions, Finsler submersions and (regular) Finsler foliations.
Marcos M. Alexandrino +2 more
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Phyllosilicate-bearing faults are characterized by an anastomosing foliation with intervening hard clasts and are believed to be long-term weak structures.
A. Niemeijer
semanticscholar +1 more source

