On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes

Following the lines of the celebrated Riemannian result of Gromoll and Meyer, we use infinite dimensional equivariant Morse theory to establish the existence of infinitely many geometrically distinct closed geodesics in a class of globally hyperbolic stationary Lorentzian manifolds.

An existence theorem for G-structure preserving affine immersions

We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into Lie groups endowed with a left-invariant metric, and the case of isometric immersions into products of space forms.

Free groups in central simple algebras without Tits` theorem

Let R be a noncommutative central simple algebra, the center k of which is not absolutely algebraic, and consider units a,b of R such that {a,a(b)} freely generate a free group. It is shown that such b can be chosen from suitable Zariski dense open subsets of R, while the a can be chosen from a set of cardinality \k\ (which need not be open).

On the semi-Riemannian bumpy metric theorem

We prove the semi-Riemannian bumpy metric theorem using equivariant variational genericity. The theorem states that, on a given compact manifold M, the set of semi-Riemannian metrics that admit only nondegenerate closed geodesics is generic relatively to the C(k)-topology, k=2, ..., infinity, in the set of metrics of a given index on M. A higher-order genericity Riemannian result of Klingenberg and Takens is extended to semi-Riemannian geometry.

The Borsuk-Ulam theorem for homotopy spherical space forms

In this work, we show for which odd-dimensional homotopy spherical space forms the Borsuk-Ulam theorem holds. These spaces are the quotient of a homotopy odd-dimensional sphere by a free action of a finite group. Also, the types of these spaces which admit a free involution are characterized. The case of even-dimensional homotopy spherical space forms is basically known.

Herbrand's Theorem and Equational Reasoning: Problems and Solutions

The famous Herbrand's theorem of mathematical logic plays an important role in automated theorem proving. In the first part of this article, we recall the theorem and formulate a number of natural decision problems related to it. Somewhat surprisingly, these problems happen to be equivalent. One of these problems is the so-called simultaneous rigid E-unification problem. In the second part, we survey recent result on the simultaneous rigid E-unification problem.

Modernist Success in a Postmodern Failure: Jackson Pollock and Abstract Expressionism, the Avant-Garde and the Ascension of Late Capitalism, Art after 1945

It is hard to imagine the magnitude of the events at the end of World War II. The thought produced in the face of a myriad of deaths is almost unfeasible sixty years after the fact, but the energy was integral to the changing social landscape. Because of the country's prominence in and fortitude after the war, the U.S. was left responsible for reshaping and rejuvenating the international landscape that was destroyed by the years of brutal fighting and vile contestation. The American establishment was granted a major opportunity to establish itself amongst the global leaders. Such a grand responsibility must account for the multiplicity of thought that arises in such a decisive moment. In order to align the Abstract Expressionist art movement with the intersection of the intense, multifaceted thought developed during the postwar period, the following will discuss the political, philosophical, economic, and art historical overlap that occurred in the mid to late 1940s in the hopes of illustrating the fertility yet lingering problems associated with the restructuring of the world with America at the helm. In this way, the duration of the Abstract Expressionist moment will be better understood for both its triumphs and downfalls.

Horror cinematográfico e experimentação de Michael Jackson na música pop e no videoclipe

Dissertação de mestrado apresentado ao Programa de Pós-Graduação em Comunicação da USCS - Universidade Municipal de São Caetano do Sul.

Central limit theorem for asymmetric kernel functionals

Asymmetric kernels are quite useful for the estimation of density functions with bounded support. Gamma kernels are designed to handle density functions whose supports are bounded from one end only, whereas beta kernels are particularly convenient for the estimation of density functions with compact support. These asymmetric kernels are nonnegative and free of boundary bias. Moreover, their shape varies according to the location of the data point, thus also changing the amount of smoothing. This paper applies the central limit theorem for degenerate U-statistics to compute the limiting distribution of a class of asymmetric kernel functionals.

A note on an application of Arrow's theorem: sufficient conditions for Lucas' inflation and welfare

Bellman's methods for dynamic optimization constitute the present mainstream in economics. However, some results associated with optimal controI can be particularly usefuI in certain problems. The purpose of this note is presenting such an example. The value function derived in Lucas' (2000) shopping-time economy in Infiation and Welfare need not be concave, leading this author to develop numerical analyses to determine if consumer utility is in fact maximized along the balanced path constructed from the first order conditions. We use Arrow's generalization of Mangasarian's results in optimal control theory and develop sufficient conditions for the problem. The analytical conclusions and the previous numerical results are compatible .

On the Impossibility of an Exact Imperfect Monitoring Folk Theorem

It is shown that, for almost every two-player game with imperfect monitoring, the conclusions of the classical folk theorem are false. So, even though these games admit a well-known approximate folk theorem, an exact folk theorem may only be obtained for a measure zero set of games. A complete characterization of the efficient equilibria of almost every such game is also given, along with an inefficiency result on the imperfect monitoring prisoner s dilemma.

Um oposicionista na política baiana dos anos 1990: a trajetória de Paulo Jackson Vilasboas

Paulo Jackson Vilasboas nasceu em Caetité, no sertão da Bahia, em 8 de junho de 1952 e morreu em 19 de maio de 2000, no município de Morro do Chapéu, também no sertão. Formado em Engenharia pela Escola Politécnica da Universidade Federal da Bahia - UFBA, na década de 1980 destacou-se como um dos principais sindicalistas baianos, tendo sido presidente do Sindicato dos Trabalhadores em Água e Esgoto - SINDAE. Entretanto, foi durante a década de 1990, quando as forças políticas ligadas ao atual senador Antônio Carlos Magalhães dominavam a política no estado, que Paulo Jackson se destacou como um dos principais opositores ao grupo dominante. No período de 1993 a 2000, atuou como deputado estadual na Assembléia Legislativa da Bahia, tornando-se conhecido por ter feito oposição ao Carlismo, mas também por uma trajetória marcada pela coerência política e pela defesa de causas importantes como água e saneamento para toda a população.