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我们研究Stiefel流形上线性规划(LPS):其目标是线性函数,变量是p个n维空间正交向量(即Stiefel流形约束,p<=n),额外再满足k个线性约束。据我们所知,该模型首次被研究。k=0的(LPS)是一个经典的多项式可解问题。
The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a 3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller space due to Fock and Goncha...
We show that a smooth compact Riemannian manifold of dimension  2 admits a Bernoulli di eomorphism with nonzero Lyapunov exponents.
We describe multiscale representations for data observed on equispaced grids and taking values in manifolds such as: the sphere S2, the special orthogonal group SO(3), the positive definite ma...
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
Generally, the dynamic hand gestures are captured in continuous video sequences, and a gesture recognition system ought to extract the robust features automatically. This task involves the highly ch...
In this paper, we study the global existence and nonexistence of positive solutions to the following nonlinear reaction-di usion system 8>>>>>>>>>>>>< >>>>>>>>>>>>: ut 􀀀 u = W(x)vp + S(x...
3-manifold groups     3-manifold groups  Geometric Topology       2012/5/9
We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.
The paper gives an explicit description of the Weiss embedding tower in terms of spaces of maps of truncated modules over the framed Fulton-MacPherson operad.
We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi V II0 group manifold, of which we give a full account. The Joets-Ribotta metric gov...
Abstract: In this paper, we extend the method in [TZhu5] to study the energy level $L(\cdot)$ of Perelman's entropy $\lambda(\cdot)$ for K\"ahler-Ricci flow on a Fano manifold. Consequently, we first ...
Abstract: We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi VII(0) group manifold. The Joets-Ribotta metric governing propagation of ...
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynami...
Abstract: Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochas...

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