共查询到20条相似文献,搜索用时 343 毫秒
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(3):335-338
On the unit ball of, one considers the standard hyperbolic metric H0 whose Ricci curvature equals R0 and Riemann-Christoffel curvature is. We prove that, for any symmetric tensor R near R0, there exists a unique metric H near H0 whose Ricci curvature is R. We deduce in the C∞ case that the image of the Riemann-Christoffel operator is a submanifold in a neighborhood of. Finally, we study more precisely the Ricci equation in dimension 2. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(12):1343-1348
Let V be a complex vector space of dimension n, %plane1D;53E; (resp. %plane1D;53E;*) the Grassmann manifold of p-dimensional (resp. (n — p)-dimensional) subspaces of V, and of Ω the relation of transversality in %plane1D;53E;*%plane1D;53E;*. We announced in [6] equivalences between derived categories of sheaves and of D-modules on %plane1D;53E; and %plane1D;53E; defined by the integral transforms associated to Ω. We show here that these transforms exchange the D-modules associated to the holomorphic line bundles on %plane1D;53E; and %plane1D;53E;*. This is equivalent to “quantizing” the underlying contact transformation between certain open dense subsets of the cotangent bundles. In the case p = 1, we recover already known results for the projective duality (see [1] and [5]). 相似文献
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Lars Gårding 《Acta Mathematica》1965,114(1):143-158
Sans résumé
Conférence faite au Congrès des mathématiciens scandinaves à Copenhague en ao?t 1964. 10-652932 相似文献
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Jacques Deny 《Archiv der Mathematik》1954,5(4-6):367-370
Sans résuméEn hommage au professeurOstrowski 相似文献
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Valentin Seigneur 《Comptes Rendus Mathematique》2018,356(7):712-716
In this note, we are interested in the problem of extending a germ defined along the standard sphere and whose restriction to the sphere is Morse to a function F defined on the ball bounded by the sphere, without critical point. We give an algebraic necessary condition dealing with the Morse complexes of f with coefficients. 相似文献
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We introduce a q-analog of the true-polyanalytic Bargmann transform on . 相似文献
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Anatole Khelif 《Comptes Rendus Mathematique》2006,342(6):377-380
In a recent preprint, George M. Bergman has investigated the following property:for any generating set X of the group G there exists an integer n such that any element of G is a product of n elements of . We will say in this case that G has the Bergman property.We have solved some of the questions asked in the above mentioned preprint and have found it suitable to investigate this property in a more general context, in particular for rings (essentially Boolean rings). To cite this article: A. Khelif, C. R. Acad. Sci. Paris, Ser. I 342 (2006). 相似文献
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Laurent Herr 《Mathematische Annalen》2001,320(2):307-337
Sans résumé
Received July 11, 1999 / Accepted September 25, 2000 / Published online February 5, 2001 相似文献
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We study the torsion subgroup of the universal ordinary distribution related to a general number field. We describe a way
to control this subgroup. We apply this method to the special case of an imaginary quadratic field, and we give examples of
such fields where these torsion subgroups are non-trivial.
Received: 4 January 2001 / Revised version: 17 May 2001 相似文献
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Let (x) denote the number of those integers n with (n) x, where denotes the Euler function. Improving on a well-known estimate of Bateman (1972), we show that (x)-Ax R(x), where A=(2)(3)/(6) and R(x) is essentially of the size of the best available estimate for the remainder term in the prime number theorem. 相似文献
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Michel Balazard 《Archiv der Mathematik》2008,90(1):31-38
We give an identity for the summatory function of the generalized von Mangoldt function
Received: 19 February 2007 相似文献