Đề tài " Reduction of the singularities of codimension one singular foliations in dimension three " pptx

... Dir(I) the corresponding linear subspace of T P X. Annals of Mathematics Reduction of the singularities of codimension one singular foliations in dimension three By Felipe Cano SINGULARITIES ... 907–1011 Reduction of the singularities of codimension one singular foliations in dimension three By Felipe Cano Contents 0. Introd...

Ngày tải lên: 28/03/2014, 22:20

... consider the A i s as functions on TM, depending only on the base point. For each i, denote Ω i a set of diameter ε that contains the support of A i in its interior. In fact, the way we smooth the ... the values of C outside the I k s. Let us count in each case the number of possibilities: (i) There are at most  N N/n 1   2 possibilities, corresponding to th...

Ngày tải lên: 06/03/2014, 08:21

... for the correct folding of GluV8, indicating its role as an intramolecular chap- erone. Furthermore, the four amino acid residues at the C-terminus of the prosegment were sufficient for both of these ... nonheated samples, the mature form of GluV8 could be renatured even after exposure to heat in the presence of SDS. Role of N-terminal Val69 in processing of the...

Ngày tải lên: 16/03/2014, 06:20

... e 2w g 0 . According to the results in [2], one can construct conformal metrics of constant Q-curvature by minimizing the functional E 1 [w] provided that the Paneitz operator is weakly positive and the integral ... P 0 denotes the Paneitz operator with respect to g 0 . Therefore, the function w satisfies a quasilinear parabolic equation of order n involving the critical...

Ngày tải lên: 28/03/2014, 22:20

... obtained by reflecting Q λ in a line of slope −1.) Theorem 2. Let K(λ) be the set of nonergodic directions that can be obtain using Lemma 1.1. If λ is Diophantine, then H.dim K(λ)=1/2. Proof of Theorem ... Roth’s theorem every algebraic integer satisfies the hypothesis of Theorem 1. Some generalizations of Theorem 1 are mentioned in Section 2. For the class of Veech billia...

Ngày tải lên: 14/02/2014, 17:20

... and generalization of the proof of Proposition 3 in [3]. We outline the main steps, while skipping the details. Step 1. One of the basic ingredients in the proof in [3] is to approximate the volume of the Wiener ... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof fo...

Ngày tải lên: 14/02/2014, 17:20

... h 0" alt =""

Ngày tải lên: 21/02/2014, 16:20

... SURFACES 105 • The integral points in E(τ ) are in a one- to -one correspondence with the set of integral multi-curves in U(τ ) ⊂ML g,n . • The natural volume form on E(τ ) defines a mapping class group invariant volume ... classes of simple closed curves in the Mod g,n -orbit of γ on X,is determined by γ. In other words, O γ is the set of [φ(γ)] where φ: S g,n →...

Ngày tải lên: 06/03/2014, 08:21

... Proof of Theorem 1. The result about the divergence of the normaliza- tion mapping follows the same lines as the case of the Birkhoff normal form. The convergence or divergence of the normalizing ... the work of H. Poincar´e ([Po, vol.I, chapitre V]). Poincar´e’s divergence theorem is the starting point of his difficult proof of the nonexistence of nontrivia...

Ngày tải lên: 14/03/2014, 22:20

... 0. Note that, in particular, the symmetric functions arising in Examples 2 and 3 above fall under the umbrella of Theorem 1.3. To simplify the exposition in the paper we give the proof of Theorem 1.1, ... deformations of metric is completely determined by the transformation of the symmetric (0, 2)-tensor A. In [Via00a] the second author initiated the study o...

Ngày tải lên: 15/03/2014, 09:20