搜索结果: 61-75 共查到“数学 geometry”相关记录230条 . 查询时间(0.098 秒)
The work is collaborated with Shing-Tung Yau, Feng Luo, Tony
Chan, Paul Thompson, Yalin Wang, Ronald Lok Ming Lui, Hong
Qin, Dimitris Samaras, Jie Gao, Arie Kaufman, and many other
mathematicians, ...
Einstein metrics in projective geometry
projective differential geometry Einstein metrics conformal differential geometry
2012/7/11
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined...
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...
Information geometry and the hydrodynamical formulation of quantum mechanics
Information geometry the hydrodynamical formulation quantum mechanics Differential Geometry
2012/4/18
Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M.
Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...
We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the 3-sphere is quasi-isometric to a Euclidean integer lattice $\mathbb Z^n$ for some $n \geq 0$.
Based on a description of project networks by max-plus algebra and poset, the adjacency of critical paths is presented using tropical geometry.
The geometry of elation groups of a finite projective space
geometry elation groups finite projective space
2012/2/29
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups ...
Abstract: Cheeger's finiteness theorem bounds the number of diffeomorphism types of manifolds with bounded curvature, diameter and volume; the Hadamard--Cartan theorem, as popularized by Gromov, shows...
The solution space geometry of random linear equations
solution space geometry random linear equations Data Structures and Algorithms
2011/10/9
Abstract: We consider random systems of linear equations over GF(2) in which every equation binds k variables. We obtain a precise description of the clustering of solutions in such systems. In partic...
The Intrinsic Geometry of Almost Contact Metric Manifolds
almost contact manifold Sasakian manifold K-contact manifold the intrinsic geometry of almost contact metric manifolds
2011/9/22
Abstract: In this paper the notion of the intrinsic geometry of an almost contact metric manifold is introduced. Description of some classes of spaces with almost contact metric structures in terms of...
Orthogonal Basis and Motion in Finsler Geometry
Orthogonal Basis and Motion Finsler Geometry Differential Geometry
2011/9/20
Abstract: Finsler space is differentiable manifold for which Minkowski space is the fiber of the tangent bundle. To understand structure of the reference frame in Finsler space, we need to understand ...
Flatness in non-Archimedean analytic geometry
Flatness non-Archimedean analytic geometry Algebraic Geometry
2011/9/16
Abstract: This text is devoted to the systematic study of flatness in the context of Berkovich analytic spaces. After having shown through a counter-example that naive flatness in that context is not ...
Cubic Curves, Finite Geometry and Cryptography
Cubic curves group law non-singularity elliptic curve cryptography finite geometries
2011/9/19
Abstract: Some geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9,3,1 or 0 points of inflexion, and cubic curves are classified accordingly. The group st...
Conformal field theory and a new geometry
Conformal field theory D-branes vertex operator algebra stringy algebraic geometry
2011/9/14
Abstract: This paper is a review of open-closed rational conformal field theory (CFT) via the theory of vertex operator algebras (VOAs), together with a proposal of a new geometry based on CFTs and D-...