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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The logarithmic Brunn-Minkowski inequality conjecture in convex geometry
凸几何 对数 布伦-闵可夫斯基 不等式猜想
2023/4/21
The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global stability of the Minkowski spacetime for the Einstein-Vlasov system
爱因斯坦-弗拉索夫系统 闵可夫斯基时空 全球稳定性
2023/4/21
In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A family of Monge-Ampère type operators converging to sigma_k, and their Minkowski problems
sigma_k汇聚 蒙日安培型 算子家族 闵可夫斯基问题
2023/4/17
We introduced a new family of translation invariant geometric measures arising from Integral Geometry of convex bodies. These measures are related to a family of new Monge-Ampère type operators conver...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Log-Brunn-Minkowski inequality
对数 布伦 闵可夫斯基不等式
2023/4/17
In 2012, Boroczky, Lutwak, Yang, and Zhang posed the log-Brunn-Minkowski conjecture, which represents an enhanced version of the classical Brunn-Minkowski inequality for convex bodies. We will recall ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Lp-Brunn-Minkowski conjecture for 0
0
2023/4/21
The Lp-Brunn-Minkowski conjecture for 0 < p < 1 states that the volume functional is concave when origin-symmetric convex bodies are Lp-added, where 0 < p < 1. This conjecture has garnered significant...
首先利用中心仿射几何中的结果建立了Minkowski空间的等价性定理.作为在Finsler几何中的应用，我们证明满足一定条件的 Landsberg 空间为 Berwald 空间，这些条件可以是具有闭的 Cartan 型形式，S曲率为零或平均 Berwald曲率为零.
The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space
Minkowski (2+1)-Space Isometric Actions
2015/9/29
Let E denote an a±ne space modelled on Minkowski (2+1)-space E
and let ¡ be a group of isometries whose linear part L(¡) is a purely hyperbolic
subgroup of SO0
(2;1). Margulis has deˉned ...
INTEGRAL IDENTITIES AND MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
INTEGRAL IDENTITIES MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
2014/4/3
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some
Minkowski type inequalities.
Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1
Polygons Minkowski space parabolic bundle Higgs field hyperpolygons
2012/6/29
Consider the moduli space of parabolic Higgs bundles (E,\Phi) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial. It is equipped with t...
Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Applied mathematics Minkowski space Timelike extremal surfaces Initial-boundary value problem
2011/10/15
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...
Lp混合质心体均质积分和对偶均质积分Brunn-Minkowski不等式
Lp-质心体 Lp-混合质心体 Lp-混合投影体 均质积分 对偶均质积分 Lp-混合调和Blaschke加
2012/11/23
定义了新几何体Γ-p,iK和Lp-混合调和Blaschke加K+pL的概念,建立了Lp-混合质心体Γp,iK的均质积分和对偶均质积分的Brunn-Minkowski不等式,并研究了算子Γp,i和Γ-p,i 的单调性.
Null mannheim curves in the minkowski 3-space E13
Mannheim curve null curve Minkowski space
2011/4/6
In this study, we give the definition of null Mannheim curve with timelike or spacelike Mannheim partner curve in the Minkowski 3-space E 13. We get the necessary and sufficient conditions for the nul...
Inverse Additive Problems for Minkowski Sumsets II
Brunn-Minkowski convex bodies sumset convex functions
2011/2/21
The Brunn-Minkowski Theorem asserts that μd(A + B)1/d μd(A)1/d + μd(B)1/d for convex bodies A, B Rd, where μd denotes the d-dimensional Lebesgue measure.
The Plateau problem for polygonal boundary curves in Minkowski 3-space
maximal immersions with singularities integrable systems
2011/2/21
We apply Garnier’s method to solve the Plateau problem for maximal surfaces in Minkowski 3-space. Our study relies on the improved version we gave in [4] of Garnier’s resolution [12] of the Plateau pr...
Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
Non-existence of non-topological solitons types of gauge field theories Minkowski space
2011/1/17
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...