Đề tài " A proof of the Kepler conjecture " pdf

... quasi-regular tetrahedra that share a face. The same convex body may also be viewed as three quarters that share a diagonal, as in Frame (b). Annals of Mathematics A proof of the Kepler conjecture ... if its distances to v 1 and v 2 are at most 2t 0 . The two vertices of a quarter that are not on the diagonal are anchors of the diagonal, and the diagona...

Ngày tải lên: 22/03/2014, 20:20

... not always nonpositive. (Compare it with the fact that adH always stabilizes Y when H and Y are part of a Jacobson-Morosov triple, and that the eigenvalues of H on Y are always nonpositive.) The ... Since the above matrix is clearly in C we get our result. Annals of Mathematics A proof of Kirillov’s conjecture By Ehud Moshe Baruch* APROOF OF KIRILLOV’S...

Ngày tải lên: 28/03/2014, 22:20

... again faithfully flat; thus, these two theories have the same local categories. We write L n for the category of E(n)-local spectra and L n for the localization functor from spectra to L n . The ... algebraic in nature; they give a nice presentation of E ∗ as a G 24 -algebra. First we define an action of G 24 on W = W (F 9 )bythe formulas: s (a) =at (a) =ω 2 a (a) =ωφ (a) (3....

Ngày tải lên: 22/03/2014, 20:20

... he stated the real analyticity of the coefficients of the asymptotic expansion of the Bergman kernel, though the proof was not published. Now a proof of this theorem and claim, based on Kashiwara’s ... invariant of a domain Ω, or a CR invariant of the boundary ∂Ω, and moreover that the invariant is un- changed under perturbations of the domain (Theorem 1)...

Ngày tải lên: 16/02/2014, 05:20

... the K¨ahler cone of a compact K¨ahler manifold By Jean-Pierre Demailly and Mihai Paun Abstract The goal of this work is to give a precise numerical description of the K¨ahler cone of a compact K¨ahler ... using the Calabi-Yau theorem and a mass concentration technique for Monge-Amp`ere equations. The main result admits a number of variants and corollaries, includ...

Ngày tải lên: 05/03/2014, 23:20

... that K(v) ⊂ L =  i≥1 U i , and therefore v ∈ P o . This completes the proof of Lemma A. 1. A. 3. The completion of the proof Let H beaseparable Hilbert space. Denote by L(H) the Banach algebra of ... compact Riemann surfaces. The flat structure on the surface associated to a rational billiard is a special case, namely the square of a holomorphic 1-form. The...

Ngày tải lên: 14/02/2014, 17:20

... blend paradifferential techniques with a geometric approach to the derivation of decay estimates. The latter allows us to take full advantage of the specific structure of the Einstein equations. 1. ... EQUATIONS 1155 In the proof of Theorem 3.4 we need the following comparison between the quantity Q(t) and the auxiliary norm E(t)=E[ψ](t). Theorem 3.5 (The comparison...

Ngày tải lên: 16/02/2014, 05:20

... have in [AC] extended some of the results of Bordemann, Meinrenken and Schlichenmaier and Karabegov and Schlichenmaier to the case of singular varieties. In [A3 ] the argument of the present paper ... 2 case) can separate the mapping torus of the identity from the rest of the mapping tori as a purely TQFT consequence of Corollary 1. In this paper we have initia...

Ngày tải lên: 16/02/2014, 05:20

... valid for the conformal Laplacian (9). The operators of Theorem 4 are conformally invariant and natural in the sense of [33]. But it is difficult to say whether they are symmetry operators of the conformal ... formulae are rather difficult, Calderbank Annals of Mathematics Higher symmetries of the Laplacian By Michael Eastwood HIGHER SYMMETRIES OF THE LAPLACIA...

Ngày tải lên: 06/03/2014, 08:21

... (A 2 ) k are real numbers. There is atypical example of an HESW A when A is a diagonal matrix having the same imaginary quaternion (say I) in the main diagonal and the anticommuting matrices are symmetric ... that in this case the entries in the main diagonal are imaginary quaternions. Furthermore A 2 is a Hermitian symmetric matrix and therefore the entries in the...

Ngày tải lên: 29/03/2014, 07:20