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Kirigami takes pop-up books to a whole new level. The Japanese paper craft involves cutting patterns in paper to transform a two-dimensional sheet into an intricate, three-dimensional structure when p...
二十多年前,W. Thurston(菲尔兹奖得主),D. Sullivan(Wolf奖得主)等著名数学家引进了Circle Packing理论,它是复分析中复解析函数的一种离散表示,从而可以由计算机具体实现一个具体的解析函数,现在Circle Packing理论是复分析研究中一种非常重要的工具,在复解析动力系统、Kleinian群、双曲几何、计算机图形学等数学分支的研究中扮演着十分重要的角色。这些...
With the development of computers, network communications, scientific computing, mapping remote sensing and geographic information technologies, Discrete Global Grids (DGGs) and Earth System Spatial...
We give a complete characterization of the positive trigonometric polynomials Q(\theta,\phi) on the bi-circle, which can be factored as Q(\theta,\phi)=|p(e^{i\theta},e^{i\phi})|^2 where p(z,w) is a po...
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action and we give a comple...
In this paper, we first give the related important Lemmas, and after discusses the non-symmetric discrete Hamiltonian system, and obtain the limit-circle invariance theorem. The main results contain c...
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...
Abstract: We describe a necessary and sufficient condition for a principal circle bundle over an even-dimensional manifold to carry an invariant contact structure. As a corollary it is shown that all ...
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
We study the spectral triples over the total space of noncommutative principal U(1) bundles. Basing on the classical situation and the abstract algebraic approach we propose a definition of connection...
Kawakubo and Uchida showed that, if a closed oriented 4k-dimensional manifold M admits a semi-free circle action such that the dimension of the fixed point set is less than 2k,then the signature of M ...
This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbe...
What input signals will lead to synchrony vs. desynchrony in a group of biological oscillators? This question connects with both classical dynamical sys- tems analyses of entrainment and phase locking...
Homology of the circle with non-trivial local coefficients is trivial.From this well-known fact we deduce geometric corollaries concerning links of codimension two. In particular, the Murasugi-Tristra...

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