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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(10):913-918
Here the unstable manifolds of hyperbolic systems admitting a one-rectangle Markov partition are characterized up to homeomorphism and up to topological conjugacy (of the underlying dynamics) in a very easy-to-compute way. The geometrical behaviour of the unstable manifolds is described with the help of an algebraic setting. 相似文献
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Résumé. Dans cet article, nous nous proposons d'étudier quelques problèmes d'analyse sur les variétés cuspidales, par exemple, la fonction maximale de Hardy-Littlewood, l'estimation en temps petit du noyau de la chaleur ainsi que de son gradient, et aussi les transformées de Riesz.Mathematics Subject Classification (2000): 58J35, 42B20, 42B25 相似文献
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Résumé On démontre en particulier qu'un variété riemanienne compacte d'Enstein de dimension quatre et de courbure comprise entre1 et1/4 est nécessairement à courbure constante.
à M. Enrico Bompiani pour son Jubilé scientifique. 相似文献
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Gaël Rémond 《Compositio Mathematica》2002,134(3):337-366
In Invent. Math.
126 (2000), pp. 513–545, we gave a proof of Lang's conjecture on Abelian varieties leading to an effective bound for the number of translates involved. We show here that the method can be extended to give a similar statement for the Mordell–Lang plus Bogomolov theorem proven by B. Poonen and independently by S. Zhang. We deal in detail with tori for which effective results have been obtained by J.-H. Evertse and H. P. Schlickewei; we improve on these mainly by providing polynomial bounds in the degree instead of doubly exponential ones. We also state a theorem for Abelian varieties. In both cases the strategy of proof is based on the approach of Mumford and Vojta–Faltings–Bombieri together with an effective Bogomolov property and therefore does not rely on either equidistribution nor subspace theorem arguments. 相似文献
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Serge Dupont 《Geometriae Dedicata》2003,96(1):55-89
Let V be a hyperbolic 2-torus bundle over the circle, or equivalently, a quotient of the three-dimensional group Sol by a lattice . We study real projective structures on V. We prove that all such structures are left-invariant which means that they are all obtained by the following process: take a representation of Sol in PGL (4, R) with an open orbit in R
P
3; it induces a projective structure on Sol and, hence, on the left-quotient \Sol=V. We classify all the real projective structures on V and show that they are in fact all affine. The proof involves a study of codimension one projective subsurfaces, which are tori, and the dynamic of their holonomy group in the whole manifold. 相似文献
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We present some results on projective toric varieties which are relevant in diophantine geometry. We interpret and study several invariants attached to these varieties by geometrical and combinatorial terms. We also give a Bézout theorem for Chow weights of projective varieties and an application to the theorem of successive algebraic minima. These results are extracted from the two texts of Philippon and Sombra mentioned in the references at the end of this Note (both downloadable from http://fr.arxiv.org). To cite this article: P. Philippon, M. Sombra, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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This Note examines the probabilistic structure of a GARCH-type stochastic difference equation with periodically time-varying parameters. We propose necessary and sufficient conditions ensuring the existence of stationary solutions, geometrically ergodic (in the periodic sense) and having finite higher-order moments. To cite this article: A. Bibi, A. Aknouche, C. R. Acad. Sci. Paris, Ser. I 347 (2009). 相似文献
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Nicolas Perrin 《manuscripta mathematica》2005,116(4):449-474
In the first part, we give some necessary conditions for a torsion free sheaf on a smooth threefold to be a reduced limit of vector bundles.In a second part of the article, we illustrate these results by reinterpreting a condition described by G. Ellingsrud and S.A. Strømme as a condition obtained in the first part. This enables us to identify, in a well known too big familly, the torsion free sheaves that are limit of vector bundles. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(2):211-213
The main purpose of this Note is to indicate vanishing and non vanishing theorems for Lp cohomology of riemannian manifolds, especially when the dimension is half the dimension of Riemannian symmetric space. 相似文献
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G. Papadopoulo 《Mathematische Annalen》2000,318(2):397-416
In this article, we obtain results on the cyclic homology of Poisson manifolds as defined by Kassel. In particular, we compute
the cyclic homology of any symplectic variety. We also show that there exists a family of new operators of the type of the
S operator of Connes, defined on the cyclic homology of a Poisson manifold, and describe the associated exact triangles associated
to these new operators.
Received February 23, 1998 / Published online July 20, 2000 相似文献
Received February 23, 1998 / Published online July 20, 2000 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(10):1205-1208
Nodal solutions of nonlinear PDE with critical growth are obtained on compact manifolds. The variational method and bifurcations theory are used to construct a branch of nodal solutions. Consequences for other PDE are suggested. 相似文献
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《Comptes Rendus Mathematique》2005,340(12):861-866
Here we characterize in a complete and explicit way the relations of algebraic dependence over of complex values of Hecke–Mahler series at algebraic points of the multiplicative group . Our result contains previous results of Loxton and van der Poorten, Mahler, and Masser. To cite this article: F. Pellarin, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(6):469-472
Let M be a q-concave CR generic C∞-smooth submanifold of real codimension k in an n-dimensional complex manifold X, then the truncated tangential Cauchy-Riemann complexes τ≤q−1[ɛp,*](M), τ≥n−k−q+2[ɛp, *](M) of C∞-smooth forms and τ≤q−1 [D′p.*](M), τ≥n−k−q+2[D′p,*(M)] of currents on M are quasi-isomorphic for 0 ≤ p ≤ n. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(3):339-342
Given a symplectic manifold (M, ω) and a function H : M → R, we construct an action functional A on paths in M with values in a torus Tk. We then show that a path is a solution of Hamilton's equations if and only if it is a critical point for A. 相似文献