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Showing 1 to 20 of 35 for “"foliations"”.
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Symplectic and complex foliations
"Symplectic (not necessarily Riemannian) foliations have a transversely symplectic structure for which many standard results of symplectic geometry have their transverse analogues: the dual bundle to the transverse bundle of a foliation is a manifold with a canonical symplectic foliation, the …
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Minimal Models and Riemannian Foliations
… work, we consider minimal models of Riemannian foliations on connected, simply-connected manifolds following Lehmann. We show that if the minimal model has an underlying rational form of finite type, then it can be realized in rational homotopy by a fibration of finite CW complexes. As a …
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Characteristic Invariants of G-Foliations
Made available in DSpace on 2014-12-14T13:09:32Z (GMT). No. of bitstreams: 1 7708979.pdf: 3908134 bytes, checksum: aaffce1a2fed4827139c5a5793cd7e20 (MD5) Previous issue date: 1976
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Foliations and exotic index theory
… the theorem of G. Yu to the index theory for the foliations. Using the functorial property of the Kasparov KK-product, the foliation exotic index theorem can be recovered via the connecting homomorphism of K-homology theory. In the case of Riemannian foliations on compact manifolds, the corona of …
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Foliations For Quasi-Fuchsian 3-Manifolds
In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow.
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Dual Homotopy Invariants of G-Foliations
… the secondary characteristic classes of smooth foliations are independently variable, extending the work of Heitsch in this direction. The homotopy groups (pi)(,n)(B(GAMMA)('q)) of the corresponding classifying space are shown to map onto (//R)('v(,n)), where {v(,n)} has a subsequence tending to …
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Geometric and dynamical properties of Riemannian foliations
Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geometric and dynamical properties of geodesics orthogonal to the leaves of the foliation are studied.
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Symplectic foliations, currents, and local Lie groupoids
… treats two main topics: calibrated symplectic foliations, and local Lie groupoids. Calibrated symplectic foliations are one possible generalization of taut foliations of 3-manifolds to higher dimensions. Their study has been popular in recent years, and we collect several interesting results. …
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An Application of Stochastic Flows to Riemannian Foliations
A stochastic flow is constructed on a frame bundle adapted to a Riemannian foliation on a compact manifold. The generator A of the resulting transition semigroup is shown to preserve the basic functions and forms, and there is an essentially unique strictly positive smooth function $\phi$ …
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Pairs of geometric foliations of regular and singular surfaces
… some symmetries between two classical pairs of foliations defined on smooth surfaces in $\mathbb{R}^3$: the asymptotic curves and the characteristic curves (called harmonic mean curvature lines in \cite{garciasotomayorharmonic}). The asymptotic curves exist in hyperbolic regions of surfaces and …
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Functional inequalities and the curvature dimension inequality on totally geodesic foliations
… analytic / geometric properties on Riemannian foliations with bundle-like metric and totally geodesic leaves, or shortly, totally geodesic foliations. Under a certain curvature condition, we obtain (1) Sobolev-isoperimetric inequalities, global Poincar\'e inqualities, and a lower bound for …
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A Tourist's Account of Characteristic Foliations on Convex Surfaces in 3-D Contact Geometry
… thick of the theory. The tools of characteristic foliations and convex surfaces are introduced next, concluding with an overview of Legendrian knots in contact 3-manifolds. Next, we develop a number of lemmas as tools for dealing with characteristic foliations, concluding with some sightseeing …
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Isochron geometry in the presence of saddle objects
… addresses the question of what such isochron foliations may look like when they are (one-dimensional) curves. It is important to also consider the backward-time isochrons of repelling oscillations. More specifically, we study how the two foliations by forward-time and backward-time isochrons …
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The primary structures and fabrics of the upper mantle and lower oceanic crust from ophiolite complexes
… mantle is strongly foliated in all areas, the foliations being defined by the alignment of chrome-spinel and orthopyroxene grains. The foliations cross-cut all the mantle petrological features except for a few late-stage dykes, and in some areas extend into the lowermost crustal cumulates. …
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Derived Lie Infinity-Groupoids And Algebroids In Higher Differential Geometry
… Then we apply these tools in studying singular foliations and their characteristic classes. Finally, we prove an $A_{\infty}$ de Rham theorem and higher Riemann-Hilbert correspondence for foliated manifolds.
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Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces
… as Fock-Goncharov coordinates associated with foliations of quadratic differentials on a Riemann surface. A wall crossing formula of Kontsevich and Soibelman arises both as a crucial consistency condition and an effective computational tool. On the other hand Gross and Siebert have succeeded in …
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A dynamical systems approach to the study of local phenomena in fluid flows
… results for spectral submanifolds, invariant foliations and Koopman eigenfunctions in the full, infinite-dimensional phase space of certain partial differential equations, notably the Navier-Stokes system on a bounded domain.
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On the existence of complex-valued harmonic morphisms
… a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms. Paper II. We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than $3$ there exist Riemannian Lie groups …
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Petrology of the Numabin Bay intrusions, Reindeer Lake, Saskatchewan
… along foliation planes. The parallelism of foliations and lineations in the pluton and surrounding metasedimentary rocks indicates that the pluton was introduced during folding which accompanied regional metamorphism. Magmatic introduction of concordant bodies of diabase followed complete …
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