Results 41 to 50 of about 59,064 (307)
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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Embedded curves and foliations [PDF]
We prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert. We give also examples of neighborhoods which can not be linearized.
Movasati, Hossein, Sad, Paulo
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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The authors introduce the notion of expansiveness into foliation theory. They prove that in the case of codimension-one foliations the topological structure of a foliation completely characterizes its expansiveness. It follows that the geometric entropy of a codimension-one expansive foliation is positive and that the fundamental group of a manifold ...
INABA, T., TSUCHIYA, N.
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A cohomology for foliated manifolds [PDF]
for a e T(v A V ) , X1? . . . , Xk + 1 e T(T). Since the curvature tensor of V restricted to T is identically zero we have that d o d = 0. Denote the homology of this complex by F*(T; V). This is the cohomology of the Lie algebra of vector fields tangent to the foliation with coefficients in sections of the normal bundle, the representation being ...
James L. Heitsch, James L. Heitsch
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Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa+2 more
wiley +1 more source
Willmore-type variational problem for foliated hypersurfaces
After Thomas James Willmore, many authors were looking for an immersion of a manifold in Euclidean space or Riemannian manifold, which is the critical point of functionals whose integrands depend on the mean curvature or the norm of the second ...
Vladimir Rovenski
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It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.Comment: to appear Bulletin of the ...
F Diamond+5 more
core +1 more source