Showing papers on "Antisymmetry published in 2006"
TL;DR: Ernst et al. as discussed by the authors showed how two theorems proved in their previous paper can be utilized to construct exact solutions that are equatorially symmetric or antisymmetric.
Abstract: In this second paper devoted to the equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes, we show how two theorems proved in our previous paper (Ernst et al 2006 Class. Quantum Grav. 23 4945) can be utilized to construct exact solutions that are equatorially symmetric or antisymmetric.
23 citations
Book•
19 Jun 2006
TL;DR: In this paper, the authors present a survey of syntactic theory and alternative approaches to syntactic variation and change, as well as alternative analysis of syntactical structures and equivalence relations.
Abstract: Preface PART I. INTRODUCTION 1. What is syntactic theory? PART II. SYNTACTIC THEORY 2. Parameters of Syntactic Theories 3. Alternative Analyses of Syntactic Structures 4. Alternative Analyses of Symbolic Equivalence Relations 5. Alternative Analyses of Syntactic Variation and Change 6. Four Current Approaches to Syntax PART III. CONCLUSION 7. Explaining Syntactic Theory References.
12 citations
11 Apr 2006
TL;DR: This article proposed that Basque DP-internal adjectives occupy the head position, not the specifier position, in the hierarchy of functional projections proposed in Cinque (1994) and Scott (2002).
Abstract: The article proposes that Basque DP-internal adjectives occupy the head position, not the specifier position, in the hierarchy of functional projections proposed in Cinque (1994) and Scott (2002). The proposal has three immediate consequences: (a) the analysis of adjectives as specifiers is not universal and is independent of the existence of the said hierarchy; (b) adjectival modification allows for specifier-head variation; and (c) word-order variation in the DP-field depends largely on the head-parameter, contrary to Kayne's antisymmetry view. The proposal that adjectives are heads is not novel in the literature (cf. Abney 1987), but it is presented here as an explicit argument for the validity of the head-parameter and against antisymmetry.
10 citations
Journal Article•
TL;DR: In this paper, light propagation in two and three dimensional lattices for which the index of refraction exhibits spatial antisymmetry is investigated in the ray and photonic crystal regimes.
Abstract: Light propagation in two and three dimensional lattices for which the index of refraction exhibits spatial antisymmetry is investigated in the ray and photonic crystal regimes. In these regimes, all the two dimensional antisymmetry groups for which light fails to propagate are identified. In the ray-regime, it is observed that in tilings described by 7 of the 46 two dimensional antisymmetric groups, light is localized within a fundamental domain and does not propagate through the tiling, in contrast to the behavior in the other 39 groups. To understand the above phenomenon, a rule based on the number of anti-mirror planes passing through a single Bravais lattice point is derived. In the wave regime for photonic crystals, it is observed that there are no propagating eigensolutions for the same 7 tilings as above, whereas propagating solutions and energy pass band dispersion curves can be obtained for the other 39 groups. The reasons underlying this peculiar behavior are analyzed using the topological approach for modeling flow in dynamical billiards to shed light on the applicability of Bloch’s theorem for these periodic antisymmetric lattices.