207,018 research outputs found

    On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space II

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    Let uu be a smooth convex function in Rn\mathbb{R}^{n} and the graph MuM_{\nabla u} of u\nabla u be a space-like translating soliton in pseudo-Euclidean space Rn2n\mathbb{R}^{2n}_{n} with a translating vector 1n(a1,a2,,an;b1,b2,,bn)\frac{1}{n}(a_{1}, a_{2}, \cdots, a_{n}; b_{1}, b_{2}, \cdots, b_{n}), then the function uu satisfies detD2u=exp{i=1naiuxi+i=1nbixi+c}onRn \det D^{2}u=\exp \left\{ \sum_{i=1}^n- a_i\frac{\partial u}{\partial x_{i}} +\sum_{i=1}^n b_ix_i+c\right\} \qquad \hbox{on}\qquad\mathbb R^n where aia_i, bib_i and cc are constants. The Bernstein type results are obtained in the course of the arguments.Comment: 9 page

    Performance Persistence of Dutch Pension Funds

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    This paper studies the investment performance of pension funds with a focus on their ability in implementing their intended investment strategy. We use a sample of Dutch industry-wide pension funds, which are obliged by law to report their investment performance according to the so-called z-score. The z-score is a risk-adjusted performance measure with benchmark settings predefined by Dutch law. We find that pension funds as a group cannot beat their self-selected benchmarks consistently. Applying a cross-sectional portfolio approach we find evidence that the largest pension funds outperform the smallest funds

    Solutions of special asymptotics to the Einstein constraint equations

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    We construct solutions with prescribed asymptotics to the Einstein constraint equations using a cut-off technique. Moreover, we give various examples of vacuum asymptotically flat manifolds whose center of mass and angular momentum are ill-defined.Comment: 13 pages; the error in Lemma 3.5 fixed and typos corrected; to appear in Class. Quantum Gra

    Supporting Online Social Networks

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