Đề tài " Removability of point singularities of Willmore surfaces " pdf
Đề tài " Removability of point singularities of Willmore surfaces " pdf
... 2π.Annals of Mathematics, 160 (2004), 315–357 Removability of point singularities of Willmore surfaces By Ernst Kuwert and Reiner Sch¨atzle*AbstractWe investigate point singularities of Willmore surfaces, ... ≤Σ|AΣ|2dµ<∞.(3.9)Annals of Mathematics Removability of point singularities of Willmore surfaces By Ernst Kuwert and Reiner Sch¨atzle WILLMORE SURFACES 333Next we abbreviate¯ΣR:=¯Σ ... embedded Willmore surface, concluding the proof.5. Convergence and compactness resultsIn this section, we derive several applications of the removability of point singularities for Willmore...
- 44
- 168
- 0
Đề tài " Reduction of the singularities of codimension one singular foliations in dimension three " pptx
... nonsimple point of H ∩ SingF.(2) The foliation G has at most simple singularities adapted to L∗= Nd(L, G)at each nonsimple point of H ∩ SingF.(3) SingH⊂L, locally at each nonsimple point of H ... present here the list of the main invariantsthat will serve us to control the vertical evolution of the singularities underour process of reduction of singularities. Consider a point P ∈ X, a normal ... First properties of presimple singularities 2. Global strategy2.1. Reduction to presimple singularities. Statement2.2. Good points. Bad points. Equi-reduction2.3. Finiteness of bad points2.4....
- 106
- 227
- 0
Tài liệu Đề tài "Boundary behavior for groups of subexponential growth " docx
... H(µ) < ∞, but the entropy of the random walk h(µ) > 0.Proof . For the proof of the corollary it is sufficient to show that the groupsatisfies the assumption of Theorem 1. This is done in ... sequencesatisfying the assumption of Theorem 3). Thenexpnln2+ε(n)≤ vGw,S(n) ≤ expnln1−ε(n)for any ε>0 and any sufficient large n.Proof of Theorem 3. The idea of the proof is similar to ... δd(ug) be the number of entries (in the word ug)ofb, c andd respectively.Let Dεw(n) consist of the elements g of G such that there exists a shortestword ug of length n, representing...
- 29
- 377
- 0
Tài liệu Đề tài " The equivariant GromovWitten theory of P1 " doc
... THEORY OF P1577fixed points of A1⊂ P1. By definition, the Hurwitz number Cg(µ) countspossibly disconnected covers with weights, where the weight of a cover is thereciprocal of the order of ... coefficients of the expansion of the operator A(z,uz)in powers of z:A(z,uz)=k∈ZAkzk.(2.24)As observed in the proof of Proposition 7, the operator Akfor k = −1 involvesonly terms of energy ... directions.Hence, for general values of µi, the matrix element on the right side of (2.17)is not a priori well-defined. By expansion of the definition of A(µi,uµi), theAnnals of Mathematics The...
- 46
- 383
- 0
Đề tài "On Fr´echet differentiability of Lipschitz maps between Banach spaces " docx
... closed convex hull of ˜Ruis equal to the closed convex hull of Ru(seee.g. [5, Lemma 2.12]).The proofs in [12] and [8] of existence of points of Fr´echet differentiability of Lipschitz functions ... ´echet differentiable at Γ-almost every point of an open subset G of a Banachspace X. Then, for every slice S of the set of G ˆateaux derivatives of f, the set of points x at which f is Fr´echet differentiable ... . Then the set of irregular points of f is σ-porous.Proof. For p, q ∈, v from a countable dense subset of X and w from acountable dense subset of Y let Ep,q,v,wbe the set of those x ∈ X...
- 33
- 334
- 0
Đề tài " The stable moduli space of Riemann surfaces: Mumford’s conjecture " ppt
... replace the stable moduli space of Riemann surfaces byBΓ∞, where Γ∞is the group of isotopy classes of automorphisms of a smoothoriented connected surface of “large” genus. Tillmann’s theorem ... part of t, respectively. If the linear part of t vanishes,then the quadratic part of tu, which is a quadratic map TEz→ R, is againindependent of u. We then call it the quadratic part of t.Definition ... neighborhoods of A in X. Then v is a weak equiva-lence.Proof. The hypothesis implies easily that the induced map π0E→π0F isonto and that, for any choice of base point z ∈E(), the map of concordance858...
- 100
- 350
- 0
Đề tài " Entropy and the localization of eigenfunctions " docx
... choices of the endpoints of the intervals Ik; by our choice of n1, for N large enoughthis is less than eNΛδ50.(ii) Each Ikcan be split into a disjoint union of intervals of length ... thanΛ/2.Sketch of the proof. We start with a variant of observation (b), provedin subsection 2.3:ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS 447(b) Let F ⊂ Σ be a σ-invariant set of topological ... to obtain a semi-classical expansion of this kernel in powers of h, for fixed n, if the flow has no conjugate points (which means that the criticalpoints of the actionn0 ˙γ22are nondegenerate)....
- 43
- 355
- 0
Đề tài " Convergence or generic divergence of the Birkhoff normal form " ppt
... ηkxk)contains no product of the ωkin the (ξ,η) variables. Moreover, the coefficients of the homogeneous part of K of degree l and of vlare polynomials of degreel − 2 in the coefficients of H3, ,Hl.b) ... thatR(Kt) ≥C11+||t||.c) Proof of Theorem 2. The proof of Theorem 2 follows exactly the samelines as the proof of Theorem 1 once the polynomial dependence of universalformal first integrals ... (KHi)must be KHbecause of the coefficient convergence (thecoefficients of the Hiconverge to those of H, and so the ones of KHiconvergeto those of KH). Thus KHhas radius of convergence ≥ 1/n...
- 19
- 369
- 0
Đề tài " On the Julia set of a typical quadratic polynomial with a Siegel disk " ppt
... ρ(f) is irrational of bounded type. The proof of this theorem makes essential use of the existence of real a priori bounds developed by´Swiatek and Herman. Here is a version of their result needed ... definition,D is said to be of generation 0. Any child of D is of gen-eration 1. In general, a drop is of generation k if and only if its parent is of generation k − 1. Given a point w ∈n≥0F−n(1), ... along theboundaries of another chain of descendants of U until it reaches a differentiterated preimage of β. We call I = I(P) ⊂ ∂U the base arc of the puzzlepiece P .Annals of Mathematics ...
- 53
- 383
- 0
Đề tài " Quasilinear and Hessian equations of Lane-Emden type " docx
... itcan be easily seen from the proof of this theorem, given in Section 6, thatany one of the conditions (ii)–(iv) above is still sufficient for the solvability of (2.19). Moreover, in the subcritical ... consequence of Theorems 2.10 and 2.13, we will deduce the followingcharacterization of removable singularities for quasilinear and fully nonlinearequations.Theorem 2.18. Let E be a compact subset of ... cube in Rn, or P = Rn, and the constants of equivalencedo not depend on P and µ.Proof. The equivalence of A1and A3is a localized version of Wolff’sinequality (5.3) originally proved...
- 58
- 375
- 0
Từ khóa: Báo cáo thực tập tại nhà thuốc tại Thành phố Hồ Chí Minh năm 2018chuyên đề điện xoay chiều theo dạngNghiên cứu tổ chức pha chế, đánh giá chất lượng thuốc tiêm truyền trong điều kiện dã ngoạiMột số giải pháp nâng cao chất lượng streaming thích ứng video trên nền giao thức HTTPNghiên cứu tổ chức chạy tàu hàng cố định theo thời gian trên đường sắt việt namđề thi thử THPTQG 2019 toán THPT chuyên thái bình lần 2 có lời giảiGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitGiáo án Sinh học 11 bài 13: Thực hành phát hiện diệp lục và carôtenôitĐỒ ÁN NGHIÊN CỨU CÔNG NGHỆ KẾT NỐI VÔ TUYẾN CỰ LY XA, CÔNG SUẤT THẤP LPWANĐỒ ÁN NGHIÊN CỨU CÔNG NGHỆ KẾT NỐI VÔ TUYẾN CỰ LY XA, CÔNG SUẤT THẤP LPWANPhát triển du lịch bền vững trên cơ sở bảo vệ môi trường tự nhiên vịnh hạ longNghiên cứu, xây dựng phần mềm smartscan và ứng dụng trong bảo vệ mạng máy tính chuyên dùngTìm hiểu công cụ đánh giá hệ thống đảm bảo an toàn hệ thống thông tinTranh tụng tại phiên tòa hình sự sơ thẩm theo pháp luật tố tụng hình sự Việt Nam từ thực tiễn xét xử của các Tòa án quân sự Quân khu (Luận văn thạc sĩ)Giáo án Sinh học 11 bài 15: Tiêu hóa ở động vậtGiáo án Sinh học 11 bài 15: Tiêu hóa ở động vậtchuong 1 tong quan quan tri rui roTrách nhiệm của người sử dụng lao động đối với lao động nữ theo pháp luật lao động Việt Nam từ thực tiễn các khu công nghiệp tại thành phố Hồ Chí Minh (Luận văn thạc sĩ)Đổi mới quản lý tài chính trong hoạt động khoa học xã hội trường hợp viện hàn lâm khoa học xã hội việt namTÁI CHẾ NHỰA VÀ QUẢN LÝ CHẤT THẢI Ở HOA KỲ