Titlebook: Geometric Theory of Foliations; César Camacho,Alcides Lins Neto Book 1985 Springer Science+Business Media New York 1985 Lie.Manifold.Topol

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Crina Oltean-Dumbrava,Margherita Finamorehisms of a transverse section to a leaf, with a fixed point. In certain circumstances, however, it is possible to associate to the foliation a group of diffeomorphisms of a global transverse section, containing in a certain well-defined sense the holonomy of each leaf. This is the case of foliations

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https://doi.org/10.1007/978-1-4612-5292-4Lie; Manifold; Topology; equation; foliation; geometry; theorem

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On Consumerism and the ‘Logic of Capital’In this chapter, we state the basics of the theory of differentiable manifolds and maps with the intention of establishing the principal theorems and notation which will be used in the book.

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https://doi.org/10.1007/978-981-99-3818-6We saw in the previous chapter that the leaves of a .. foliation inherit a .. differentiate manifold structure immersed in the ambient manifold. In this chapter we will study the topological properties of these immersions, giving special emphasis to the asymptotic properties of the leaves.

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Finn Bro-Rasmussen,Kirsten WarnøeA codimension . foliation . of an .-dimensional manifold is analytic when the change of coordinate maps which define . are analytic local diffeomorphisms of ... Under these conditions any element of the holonomy of a leaf of . has a representation which is an analytic local diffeomorphism of ...

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Nirbhay N. Singh,Michael G. AmanThe following theorem, due to Novikov [40], is one of the deepest, most beautiful theorems in foliations.