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We study cohomology classes of Hölder continuous closed leafwise 1-forms on the stable foliation of an Anosov geodesic flow. Each class contains a harmonic 1-form and is determined by its periods. Asymptotic quantities are computed in terms of the Pressure function defined by the geodesic flow.
LetM be a compact Riemannian manifold with no conjugate points such that its geodesic flow is expansive. Then we show that the universal Riemannian covering ofM is a hyperbolic geodesic space according to the definition of M. Gromov. This allows us to extend a series of relevant geometric and...
We describe both the Bunce-DeddensC
*-algebras and their Toeplitz versions, as crossed products of commutativeC
*-algebras by partial automorphisms. In the latter case, the commutative algebra has, as its spectrum, the union of the Cantor set and a copy of the set of natural numbers ℕ, fitted...
In this paper we prove that, given a holomorphic foliation by curves on ℂP
, of degree ≥2, whose singularities have nondegenerate linear part, then there exists a hermitian metricg on ℂP
-S (S=singular set) which is complete and induces strictly negative Gaussian curvature on the leaves of...
* M denote the cotangent bundle of a manifoldM endowed with a twisted symplectic structure . We consider the Hamiltonian flow generated (with respect to that symplectic structure) by a convex HamiltonianH: T
* M→ℝ, and we consider a compact regular energy level ofH, on which this flow...
We prove that for a large class of bidimensional real analytic diffeomorphisms the centralizer is trivial: they only commute with their own integer powers. In particular this property holds for an open and dense subset of those having positive topological entropy.
the foliations by the null geodesics of some lorentzian metricg on the torus
. We analyse how geodesic completeness properties ofg are related to the dynamics of
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