Suppose that F is a field of characteristic zero and (ⅰ) D is a finite-dimensional central division algabra over F; (ⅱ) A is a finite-dimensional semi-simple algabra over F. It is proved that as F-algebras, D and A ...
A necessary and sufficient condition for a symmetric submanifold to be minimal in its ambient compact Riemannian symmetric space is given. By this condition a complete classification of non- minimal symmetric submanif...
THE one-dimensional bin-packing problem is defined as follows: for a given list L={p1, p2,…, Pn}, where 0<pi≤1 denotes the item and its size as well, we are to pack all...
By the theory of semi-simple (generalized) continued fractions, the Diophantine equation x^2-dy^2=c (1) will be studied, and simple criteria for solvability and explicit sets of solutions will be given.These could be ...
Project supported by the National Natural Science Foundation of China
In ref. [1] Smale pointed out that the existence of minimal sets is an important problem. The main problem is to determine what kind of spaces are minimal with respect to some flows on it. A comprehensive report of th...
Given a harmonic map φfrom a Riemann surface M into the complex projectivespace CP^n, by using the -transform associated to the map φ, Chern et al. obtained the se-quence of harmonic maps. We call it a harmonic sequ...
Imaginary root is an important concept in Kac-Moody algebras, which presents the naturaldifference between Kac-Moody algebras and finite dimensional simple Lie algebras. In thisnote, we will first describe the strictl...
Project supported by the National Natural Science Foundation of China and the Science Foundation of Zhejiang Province.
Let CP^n be a complex projective n-space with the Fubini-Study metric of constantholomorphic sectional curvature c,and M be an n-dimensional compact totally real minimalsubmanifold in CP^n. It is known from refs. [1-3...