We show that if two C°° transitive Anosov flows in a threedimensional manifold are topologically conjugate and the Lyapunov exponents on corresponding periodic orbits agree, then the conjugating homeomorphism is C 00 .
In this work we present a tool for assisting object-oriented framework instantiation based on Intelligent Agent technology. Differently from other approaches, the user is able to select the functionality needed for the new application, and based on this selection an agent elaborates a sequence of programming activities that should be carried out in order to implement it. In addition, the agent guides the execution of the activities according to the framework design. To enable this behavior, the framework need to be documented following the SmartBooks method, which extends traditional framework documentation with instantiation rules. In this paper we present an example of an instantiation environment built based on these ideas and the main characteristics of the SmartBooks method for documenting frameworks through instantiation knowledge rules.
Regularity up to the boundary of the solutions of a boundary value problem for a complex Monge-Ampere equation on perturbations of an annulus in Cn is proven. The result can be applied to the classification of such domains.During the past few years, several applications of the MongeAmpere equation, det (uj-p) = We prove the following result for general small perturbations of the ball:THEOREM. Given any k > 0 and 0 < R < 1, there exists an e > 0 such that for every bounded domain Q C Cn with CO' boundary which differs from the "annulus" Qo\Qi = [R < z < 1] by less than e in the C45 topology, the solution to Eq. 2 is of class Ck up to the boundary.In particular, the result of Bedford and Burns (ref. In the particular case uo = (log R)-' log Iz 1, the foliation is by complex planes through the origin and the operator is the laplacian on each leaf multiplied by a nonvanishing C-o function.(ii) For a small perturbation v of such a u, a two-dimensional real distribution D is defined by the eigenvectors corresponding to the minimum eigenvalues of the hessian matrix of v. It is not integrable in general, but a foliation F can be found with a tangent distribution close to the previous one. On each leaf we have a good substitute for polar coordinates (p, 0).The derivative P' can be perturbed to a second-order linear operator P' acting on each leaf of F separately, such that I I(Ps -PV)jl o1 < C (IIPVI 13-j + I IPVI II I IVI 15-j)
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