Đề tài " Integrability of Lie brackets " ppt

... description is as follows: Annals of Mathematics Integrability of Lie brackets By Marius Crainic and Rui Loja Fernandes* INTEGRABILITY OF LIE BRACKETS 593 Definition 3.1. We define ... POCTI/1999/MAT/33081. Key words and phrases. Lie algebroid, Lie groupoid. INTEGRABILITY OF LIE BRACKETS 603 Note that this immediately implies that F is transverse t...

Ngày tải lên: 14/03/2014, 22:20

... K  .Inthe course of the proof of Theorem 4.1 we will assume that F is the splitting field of M , with M the Mumford-Tate group of s 0 . We note that M( )iscompact: the kernel of the action of G( )on X ... isomorphism, is finite, and bounded in terms of the dimension of V and the set of characters of T that do occur in V . Proof. Let us consider the set S of subspaces W o...

Ngày tải lên: 14/03/2014, 22:20

... clearly unaffected by the removal of D from Z d . 5. Proofs of main results Proof of Theorem 1.1. Denote m =  d−1 4 . By applying Corollary 3.4 to m + 1 independent copies of the USF relation, and invoking ... allow for future applications. The bulk of the paper is devoted to the proof of the upper bound on max N(x, y) in (1.1). We now present an overview of this proof. Let U (...

Ngày tải lên: 14/02/2014, 17:20

... DYNAMICS OF SL 2 ( R ) OVER MODULI SPACE IN GENUS TWO 405 It suffices to determine the Lie algebra h of H. Let U ⊂ G be the subgroup of lower-triangular matrices, and let g, n, a and u denote the Lie ... the zeros of ω, and of the form φ(z)=z p+1 near a zero of order p. Foliations. The harmonic form ρ =Reω determines a measured foliation F ρ on X. Two points x, y ∈ X lie on th...

Ngày tải lên: 16/02/2014, 06:20

... This proof applies to a more general situation of the so called Frobenius constant quantizations of symplectic varieties in positive characteristic, see [BeKa, Prop. 3.8]. (3) The statement of the ... The sheaf π ∗ (D  X ) T,η of sec- tions of π ∗ (D  X ) which transform by the character η under the action of T carries the structure of such a module. 3. Localization of g-mod...

Ngày tải lên: 16/02/2014, 06:20

... appearance of a decreasing sequence of values of b k of a particular length. 358 P. BORWEIN, E. DOBROWOLSKI, AND M. J. MOSSINGHOFF We remark that a pure hill-climbing method would omit the resetting of b k−1 to ... absolute values of those roots of f that lie outside the unit disk, multiplied by the absolute value of the leading coefficient. Writing f(x)= *The first author was...

Ngày tải lên: 15/03/2014, 09:20

... the ideal of smoothing operators. The topology of Ψ bc (X) is given in terms of the conormal seminorms of the Schwartz kernel K of its elements; these seminorms can be stated in terms of the Besov ... the quotient of ˙ H −1 (X) by the annihilator of H 1 0 (X). In terms of the identification of the H 1 spaces in the penultimate paragraph of Remark 3.1, H −1 loc (X) = ¯ H −...

Ngày tải lên: 15/03/2014, 09:20

... topology of distributions. This is known in the liter- ature as the formal set of barycenters of M (of order k); see [3], [4], [9]. We stress that this set is NOT the family of convex combinations of ... boundedness of (u l ) l and the fact that u l  u 0 weakly in H 2 (M). 6. Appendix In this section we collect the most technical proofs of the paper, namely those of Lemmas 3...

Ngày tải lên: 15/03/2014, 09:20

... (constitutiv) là chức năng tạo tài sản từ tiền bằng cách cất giữ, tức là giữ tiền duy nhất chỉ vì muốn bảo toàn giá trị. 1.3.Chức năng của tiền tệ: Khi đề cập đến vấn đề chức năng của tiền tệ, các ... người ta niềm tin và sự tín nhiệm tiền tệ. 1.3.4.Chức năng phương tiện tích lũy (store of value or store of purchasing power) Tiền tệ chấp hành chức năng phương tiện tích lũy khi ti...

Ngày tải lên: 13/12/2013, 12:15

... giảng dạy và chăm sóc trẻ em www.mamnon.com Trẻ em hôm nay – Thế giới ngày mai Đề tài : ÂM THANH QUANH BÉ Website hỗ trợ giảng dạy và chăm sóc trẻ em www.mamnon.com

Ngày tải lên: 13/12/2013, 20:15