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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...
This twist has connected components which are smooth curves of genus 0 and there is a Q-rational point
xEi
corresponding to Ei=Q and the choice of 3-torsion basis implicit in Ei;3
. The component ...
Mean curvature flows and isotopy problems
Mean curvature flows isotopy problems Differential Geometry
2012/4/23
In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differenti...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Multitriangulations, pseudotriangulations and some problems of realization of polytopes
Multitriangulations pseudotriangulations realization of polytopes
2010/12/1
Je tiens à remercier en premier lieu mes deux directeurs de thèse, qui m’ont guidé chacun à leur manière pour mes premiers pas dans le monde de la recherche. Qu’ils sachent tous les deux ma reconnaiss...
On Isosceles Triangles and Related Problems in a Convex Polygon
Isosceles Triangles and Related Problems Convex Polygon
2010/12/15
Given any convex n-gon, in this article, we: (i) prove that its vertices can form at most n2/2 + (n log n) isosceles trianges with two sides of unit length and show that this bound is optimal in the ...
The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann--Hilbert problems
multi-component 2D Toda hierarchy orthogonal polynomials Riemann--Hilbert problems
2010/4/7
We consider the relation of the multi-component 2D Toda hierarchy with matrix orthogonal and biorthogonal polynomials. The multi-graded Hankel reduction of this hierarchy is considered and the corresp...
System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces
Generalized game System of generalized vector quasi-equilibrium problems $KKM$ property Himmelberg type fixed point theorem Locally $FC$-space
2007/12/11
A new class of locally finite continuous topological spaces (for short, locally $FC$-spaces) and a class of system of generalized vector quasi-equilibrium problems are introduced. By applying a genera...
Problems on geometric structures of projective embeddings
geometric structures projective embeddings
2010/10/29
This is a survey of our research on geometric structures of projective embeddings and includes some topics of our talks in several symposia during 1990-99. We clarify our main problem, which is to co...
Applications of the Tachibana Operator on Problems of Lifts
Tensor bundle affinor complete lift pure cross-section Tachibana operator
2010/3/1
The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers....