EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS

... that simple two dimensional compact Riemannian manifolds are boundary distance rigid More precisely we show Theorem 1.1 Let (M, gi ), i = 1, 2, be two dimensional simple compact Riemannian manifolds ... Annals of Mathematics, 161 (2005), 1093–1110 Two dimensional compact simple Riemannian manifolds are boundary distance rigid By Leonid Pesto...

Ngày tải lên: 16/02/2014, 05:20

... of the Main Theorem with the exception of those results which concern the asymptotic properties of the Ricci coefficients (the Asymptotics Theorem), and the straightforward modifications of the ... desired in the proof of (93) The remaining term on the left-hand side of (93) is easier to treat Proof of the L2 − L∞ decay estimate; Theorem 2.1 In this section we...

Ngày tải lên: 16/02/2014, 05:20

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 14/03/2014, 13:20

... 電極 １ １ は 、 第 １ の 絶縁 膜 で ある 層間 絶 縁 膜 １ ２ を 介し て 半導体 基板 １ ０ の 表面 に 形成 さ れ て いる 。 pad electrode 11 is formed on the surface of the semiconductor substrate ... quality and speed by imposing appropriate constraints 5 Conclusion In this paper, we proposed a method for imposing reordering constraints using document-level context In the proposed...

Ngày tải lên: 17/03/2014, 00:20

... uniformly contractible Riemannian manifolds Z and Z are boundedly homeomorphic if there is a homeomorphism f : Z → Z which is a coarse isometry LARGE RIEMANNIAN MANIFOLDS WHICH ARE FLEXIBLE 921 Theorem ... category theorem LARGE RIEMANNIAN MANIFOLDS WHICH ARE FLEXIBLE 925 Lemma 3.7 Let r : Z → M be a retraction which is one-to-one on (Z − M ) and let g : (Z,...

Ngày tải lên: 22/03/2014, 15:21

... the isometric actions of noncompact simple Lie groups that satisfy our geometric condition n0 = m0 Moreover, we have actually shown that the collection of manifolds defined by such condition is ... higher rank semisimple groups, Ann of Math 139 (1994), 723–747 ISOMETRIC ACTIONS OF SIMPLE LIE GROUPS [Sz] 969 J Szaro, Isotropy of semisimple group actions on...

Ngày tải lên: 22/03/2014, 20:20

... Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance Advances in Difference Equations 2011 2011:42 Submit ... existence of solutions for boundary value problems with integral boundary conditions on time scales Motivated by the statements above...

Ngày tải lên: 20/06/2014, 22:20

... much research activity concerning the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to 5–18 Recently, Erbe et al 19–21 considered the asymptotic ... Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 M Bohner and S H Saker, “Oscillation of second order nonlinear dynamic equations on time s...

Ngày tải lên: 21/06/2014, 05:20

... structure of every time scale Nonlinear Implicit Dynamic Equations on Time Scales 2.1 Some Basic Notations of the Theory of the Analysis on Time Scales A time scale is a nonempty closed subset of the ... difference equations, ” International Journal of Difference Equations, vol 1, no 2, pp 181–193, 2006 P E Kloeden and A Zmorzynska, Lyapunov functions for linear n...

Ngày tải lên: 21/06/2014, 05:20

... the cone theory and monotone iterative technique to investigate the existence of minimal nonnegative solution for a class of second-order nonlinear impulsive differential equations on an infinite ... the minimal nonnegative solution x with x ≤ β/ − α , where β is defined as in Lemma 2.3 Here, the meaning of minimal nonnegative solution is that if x is an arbitra...

Ngày tải lên: 21/06/2014, 11:20

... suggestions References H Br´ zis and S Wainger, “A note on limiting cases of Sobolev embeddings and convolution e inequalities,” Communications in Partial Differential Equations, vol 5, no 7, pp 773–789, ... Aubin, Nonlinear Analysis on Manifolds Monge-Amp` re Equations, vol 252 of Grundlehren der e Mathematischen Wissenschaften, Springer, New York, NY, USA, 1982 E Hebey, Sobolev Spaces o...

Ngày tải lên: 22/06/2014, 03:20

... 2.1 The Einstein- scalar field constraint equations in the dimension n We are now in a position to apply the conformal method to the Einstein constraint equations with the presence of a real scalar ... solution of (1.4.1) is constant 2 Background of the Einstein- scalar field constraint equations in the dimension n 2.1 The Einstein- scalar field constraint eq...

Ngày tải lên: 09/09/2015, 10:15

... gradient estimate of Li-Yau type, gradient estimate of Hamilton type for the general heat equation ut = ∆V u + au log u on compact Riemannian manifolds (M, g) In this paper, let (M, g) be a Riemannian ... Hamilton type gradient estimate for a nonlinear diffusion equation on smooth metric measure spaces, Manuscript [5] R S Hamilton, A matrix Harn...

Ngày tải lên: 12/10/2015, 16:29

... the Einstein equations Constraints and evolutions 4.1 Derivation of constraint equations: The Hamiltonian constraint 4.2 Derivation of constraint equations: The momentum constraint 4.3 Evolutions ... understand solutions of the constraint equations EINSTEIN CONSTRAINT EQUATIONS ON RIEMANNIAN MANIFOLDS 15 C ONSTRAINTS AND EVOLUTIONS As we have already mentioned in...

Ngày tải lên: 14/10/2015, 07:57