7,267 research outputs found

    New examples of constant mean curvature surfaces in S2×R\mathbb{S}^2\times\mathbb{R} and H2×R\mathbb{H}^2\times \mathbb{R}

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    We construct non-zero constant mean curvature H surfaces in the product spaces S2×R\mathbb{S}^2 \times \mathbb{R} and H2×R\mathbb{H}^2\times \mathbb{R} by using suitable conjugate Plateau constructions. The resulting surfaces are complete, have bounded height and are invariant under a discrete group of horizontal translations. In S2×R\mathbb{S}^2\times\mathbb{R} (for any H>0H > 0) or H2×R\mathbb{H}^2\times\mathbb{R} (for H>1/2H > 1/2), a 1-parameter family of unduloid-type surfaces is obtained, some of which are shown to be compact in S2×R\mathbb{S}^2\times\mathbb{R}. Finally, in the case of H=1/2H = 1/2 in H2×R\mathbb{H}^2 \times \mathbb{R}, the constructed examples have the symmetries of a tessellation of H2\mathbb{H}^2 by regular polygons.Comment: 22 pages, 5 figure

    The new Spanish Autonomous Communities fiscal stability framework

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    From to beginning of year 2002, the Spanish Autonomous Communities (CC. AA.) fiscal performance is conditioned by a new legal framework compounded from the financial agreement and the legislation on budget stability. This new framework implies a change in the CC. AA. fiscal behaviour. Are the CC. AA. ready to provide its citizens the public services they demand and fulfil its fiscal stability commitments? Are all the CC. AA. in the same position? Using political economic models and data on past budget execution, this paper is aimed at shedding light over the factors that jeopardize the CC. AA. budget stability in the future and the differences between CC. AA. relevant to its fiscal performance. JEL classification: H61, H62, H71, H72, H77
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