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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Symplectic fillings of lens spaces and Seifert fibered spaces
透镜空间 塞弗特纤维空间 辛填充
2023/4/27
In this talk, we apply Menke's JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to orientation-preserving di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：μ-basis for a tensor product rational surface with respect to one variable
张量积 有理曲面 变量 μ基
2023/4/28
The method of moving planes and moving quadrics expresses the implicit equation of a rational parametric surface as a compact determinant. Efficient computation of the moving planes and moving quadric...
Geometry of optimal control for control-affine systems
affine distributions optimal control theory Cartan's method of equivalence
2012/6/21
Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We comput...
Minimal surface systems, maximal surface systems, and special Lagrangian equations
minimal submanifold special Lagrangian equation entire solution
2012/4/17
We extend Osserman's lemma on the generalized Gauss map of two-dimensional minimal graphs of higher codimension, construct a Jenkins-Serrin type special Lagrangian Scherk graph explicitly, and general...
Integrable Hamiltonian systems with incomplete flows and Newton's polygons
integrable Hamiltonian system incomplete Hamiltonian flows Newton’s polygon
2011/9/1
Abstract: We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on $\mathbb C^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-degenerate ...
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems
Linear programming Linear algebra Differential forms
2010/11/30
This note presents an analytic construction of the optimal unit-norm direction bx = x/||x|| that maximizes or minimizes the objective linear expression, B · bx, subject to a system of linear constrain...
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
hydrodynamic type bi-Hamiltonian systems
2010/4/7
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagonalizable. Moreover, w...
The invariant zeros conditions for Pritchard-Salamon systems without smoothness assumption
2007/7/28
期刊信息
篇名
The invariant zeros conditions for Pritchard-Salamon systems without smoothness assumption
语种
英文
撰写或编译
作者
Jiang Wei-sheng,Liu Yan,Huang Fa-lun
第一作者单位
刊物名称
四川大学学报(自然科学版)
页面
Vol.39: 3，404-408, 2...