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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...
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...
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...
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 ...
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.
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 ...
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.
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...
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...
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       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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.
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...
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...

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