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Optics Letters, 2001
Critical foliations are special two-dimensional slices (planes of observation) of a three-dimensional optical field in which an infinitesimally small change in the angle of observation produces major qualitative differences in the observed field structure.
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Critical foliations are special two-dimensional slices (planes of observation) of a three-dimensional optical field in which an infinitesimally small change in the angle of observation produces major qualitative differences in the observed field structure.
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Codimension one partially hyperbolic diffeomorphisms with a uniformly compact center foliation
, 2013We consider a partially hyperbolic C1-diffeomorphism f on a smooth compact manifold M with a uniformly compact f-invariant center foliation. We show that if the unstable bundle is one-dimensional and oriented, then the holonomy of the center foliation ...
Doris Bohnet
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Ergodic Theory and Dynamical Systems, 2012
We show that a partially hyperbolic $C^{1}$-diffeomorphism $f:M\rightarrow M$ with a uniformly compact $f$-invariant center foliation ${\mathcal{F}}^{c}$ is dynamically coherent.
Doris Bohnet, C. Bonatti
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We show that a partially hyperbolic $C^{1}$-diffeomorphism $f:M\rightarrow M$ with a uniformly compact $f$-invariant center foliation ${\mathcal{F}}^{c}$ is dynamically coherent.
Doris Bohnet, C. Bonatti
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1981
In this chapter the central subject of this book is presented in full generality. Before we give (in 2.1) the definition we study an intermediate class of objects, the so-called foliated bundles. This is for three reasons: Foliated bundles are fibre bundles with a foliation transverse to the fibres (or with a flat connection, in the language of ...
Gilbert Hector, Ulrich Hirsch
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In this chapter the central subject of this book is presented in full generality. Before we give (in 2.1) the definition we study an intermediate class of objects, the so-called foliated bundles. This is for three reasons: Foliated bundles are fibre bundles with a foliation transverse to the fibres (or with a flat connection, in the language of ...
Gilbert Hector, Ulrich Hirsch
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Surface Registration via Foliation
IEEE International Conference on Computer Vision, 2017Xiaopeng Zheng +4 more
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Prescribing the Mixed Scalar Curvature of a Foliation
, 2014V. Rovenski, L. Zelenko
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