Applied Geometry

我们正在通过组织应用几何研讨会和“可见几何”研讨会来探索如何研究应用几何。研究三维曲线曲面、边界曲面的结构及其运动、三维或四维流形的结构、动力学方法、几何的代数和算法方法、信息几何方面的新课题和新方法是我们最近研究的主要内容。松本利用可见几何方法研究了一般曲面在三维空间中的变形，并将其应用于研究四维空间中的曲面，特别是二维结点的研究。Agaoka根据矩形三角形对球面的平铺进行了分类。Saeki从奇点理论的角度对流形和映射的全局研究感兴趣，并在3-空间…中发现了曲线的曲率和切向展开曲面的新的拓扑意义更多的e.吉田发现了边界和特征类之间的关系。Nakayama推广了Lyapunov函数的概念，并研究了轨道空间。DOI处理平面曲线的计数问题。Harada定义了用多边形曲线对离散数据进行有效逼近的曲率，提出了一种去除不必要数据的方法。Tabata正在进行有限元分析，并考虑了一些几何因素。西村改进了软件以追求分支解决方案，并研究了自复制动力学。伊利研究了空间结构的时间演变和种群动态的策略。Muta研究了弯曲时空中的量子理论相结构。谷崎利用D-模研究了量子群的几何结构。Imaoka研究了拓扑学中各种不变量的算法。在信息几何方面，Matumoto用两点函数刻画了统计流形，Fujikoshi研究了统计中的渐近展开和误差估计。较少

We are seeking how to study the applied geometry, by organizing the applied geometry seminar and symposium "Visible Geometry". The new topics and methods in the study of curves and surfaces in 3-space, the structure of the boundary surface and its move, the structure of 3-dimensional or 4-dimensional manifolds, dynamical approach, algebraic and algorithmic approach to geometry, information geometric aspect are the main contents of our recent study.Matumoto investigates the deformation of generic surfaces in 3-space by the visible geometric methods with applications to the study of surfaces in 4-space especially of the 2-dimensionza1 knots, besides the study of information and computational geometry. Agaoka classified the tilings of the sphere by the rectangle triangles. Saeki is interested in the global study of the manifolds and mappings from the view point of singularity theory, and found a new topological meaning of curvature and tangential developping surface of the curve in 3-spac … More e. Yoshida found a relation between the boundary and characteristic classes. Nakayama extends the notion of Lyapunov function and studied the space of orbits. Doi handles the counting problem of plane curves. Harada defined the curvature for the discrete data to approximate efficiently by a polygonal curve and proposed a method to remove the unnecessary data. Tabata is working on the finite element analysis with some geometric considerations. Nishiura improves the softwear to pursue the branching solutions and studies the self-replicating dynamics. Irie studies the time evolution of space-structure and strategy for a population dynamics. Muta investigated the quantum theoretic phase structures in the curved spacetime. Tanisaki studied the geometric structure of quantum group by D-module. Imaoka studies some algorithms for the various invariants in topology. In information geometric aspects Matumoto characterized the statistical manifold by two point function and Fujikoshi studies the asymptotic expansions and error estimates in statistics. Less