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武汉科技大学理学院邹都副教授在国际微分几何最高级别期刊《Journal of Differential Geometry》发表学术论文（图）
武汉科技大学理学院 邹都 副教授 微分几何
2019/10/10
近日，理学院楚天学子邹都副教授的学术论文《The Lp Minkowski problem for electrostatic p-capacity》被《Journal of Differential Geometry》正式接收，论文篇幅为42页。《Journal of Differential Geometry》的主编是国际数学领袖丘成桐教授，该期刊是微分几何领域最高级别的专业期刊。
Differential geometry is one of the most research intensive areas of mathematics in the late twentieth and early twenty-first century. Its current prominence stems in part from its position at a cross...
Differential geometry is one of the most research intensive areas of mathematics in the late twentieth and early twenty-first century. Its current prominence stems in part from its position at a cross...
Einstein metrics in projective geometry
projective differential geometry Einstein metrics conformal differential geometry
2012/6/30
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
2012/6/6
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
2012/4/3
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
2012/4/3
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 ...
The Intrinsic Geometry of Almost Contact Metric Manifolds
almost contact manifold Sasakian manifold K-contact manifold the intrinsic geometry of almost contact metric manifolds
2011/7/27
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
2011/7/24
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 ...
On one class of holonomy groups in pseudo-Riemannian geometry
holonomy groups pseudo-Riemannian geometry Differential Geometry
2011/7/12
Abstract: We prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the centraliser of L in SO(g) is a holonomy group for a ...
Abstract: We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the general definition of causal fermion systems, we deduce space-tim...
Supergravity as Generalised Geometry I: Type II Theories
Supergravity Generalised Geometry I High Energy Physics - Theory
2011/7/8
Abstract: We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\bbR^+$ structure on th...
Schrodinger equations, deformation theory and $tt^*$-geometry
Schrodinger equations deformation theory Differential Geometry
2011/7/7
Abstract: This is the first of a series of papers to construct the deformation theory of the form Schr\"odinger equation, which is related to a section-bundle system $(M,g,f)$, where $(M,g)$ is a nonc...
The geometry of embedded pseudo-Riemannian surfaces in terms of Poisson brackets
pseudo-Riemannian manifolds embedded surfaces Poisson brackets
2011/7/4
Abstract: Arnlind, Hoppe and Huisken showed how to express the Gauss and mean curvature of a surface embedded in a Riemannian manifold in terms of Poisson brackets of the embedding coordinates. We gen...
Abstract: This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing appr...