1) Cartan-Hartogs domain
Cartan-Hartogs域
1.
The Cartan-Hartogs domain Y_Ⅱ(N,p;K)is the special cases of Hua domains, when K=p/2+1/(p+1),the solution of the Dirichlet problem of complex Monge-Ampère equation for domain Y_Ⅱ(N,p;K),and the explicit formula of complete K■hler-Einstein metric of Y_Ⅱ(N,p;K) is obtained.
华罗庚域的特殊类型Cartan-Hartogs域Y_Ⅱ(N,p;K)当K=p/2+1/(p+1)时,求解了该域上的复Monge-Ampère方程的边值问题,从而得到该域的完备K■hler-Einstein度量的显表达式,并且得到此度量下的全纯截曲率的负的上下确界,最后证明了此K■hler-Einstein度量与Bergman度量等价。
2.
In this paper,some extremal problems between the Cartan-Hartogs domain on k＜1 and the unit ball are studied,and the extremal mapping and extremal value in explicit formulas are obtained.
在本文中,k＜1时Cartan-Hartogs域与单位超球间的极值与极值映照被得到。
3.
By means of holomorphic automorphic map to compute the determinant of Bergman metic matrix detT for domains Y_(II),which are Cartan-Hartogs domains of the second type,in explicit formulas and the biholomorphic invariant J_(Y_(II)) for the domains Y_(II) are obtained.
利用全纯自同构映射,求出了第二类Cartan-Hartogs域YII上Bergman度量矩阵行列式detT(W,Z;W,Z)的显表达式,从而得到YII上的双全纯不变量JYII。
2) Cartan-Hartogs domain of the first type
第一类Cartan-Hartogs域
1.
In this paper,we prove the vanishing of the space of square integrable harmonic(r,s)-forms relative to the Bergman metric for r+s≠N+mn on the Cartan-Hartogs domain of the first type in CN+mn.
证明在第一类Cartan-Hartogs域上,对于Bergman度量下平方可积调和(r,s)形式空间成立H2r,s(YI(N;m,n;k))=0,r+s≠N+mn。
3) Hartogs domain
Hartogs域
1.
The purpose of this paper is to prove that every proper holomorphic self-mapping of certain Hartogs domains must be an automorphism.
对C2中某类Hartogs域的逆紧全纯自映射证明了刚性定理,即逆紧全纯自映射必定为全纯自同构。
4) Cartan domain
Cartan域
1.
The Bergman kernel function and holomorphic automorphism group for super-Cartan domain of the fourth type are given in explicit formulas.
显式给出了第四类超Cartan域的Bergman核函数及其全纯自同构群。
5) super-Cartan domain
超Cartan域
1.
In this paper we give the Ricci curvature about the Bergman metric on the super-Cartan domain of the third type YⅢ,so we know YⅢ is nonhomogeneous.
给出了第三类超Cartan域YⅢ(N,q,K)在Bergman度量下的Ricci曲率,从而得知YⅢ(N,q,K)是非齐性域的条件;同时知道它具有齐性域同样优美的解析性质;得到了非齐性域四个经典度量之间的关系:Einstein-Kahler度量和Bergman度量是等价的,Einstein-Kahler度量和Kobayashi度量有比较定理。
2.
We discuss the extremal problem on the fourth type of super-Cartan domain Y_(IV)(N;n;k),obtain the extremal mapping and extremal value between the fourth type of super-Cartan domain and the unit ball.
讨论了第四类超Cartan域Y_(Ⅳ)(N;n;k)上的极值问题,得到了第四类超Car- tan域与单位超球间的极值和极值映照。
3.
We first prove the convexity on Y_I(k;N;m,n),the super-Cartan domain of the first type when 2k■m,and then we study the equivalence of the Bergman metric,Caratheodory metric,Kobayashi metric and Einstein-Kahler metric and the holomorphic curvatures of Caratheodory metric(and Kobayashi metric).
首先证明超Cartan域Y_I(k;N;m,n)为凸域的充分必要条件是2k■m;接着讨论了在超Cartan域上四类经典的不变度量,即Bergman度量、Caratheodory度量、Kobayashi度量和Einstein-Kahler度量的等价性;最后通过计算得到了超Cartan域Y_I(1;N;2,n)和Y_I(2;N;2,n)上的Caratheodory度量(和Kobayashi度量)的显表达式。
6) Super Cartan domain
超Cartan域
1.
The sufficient conditions and necessary conditions for the Bloch functions on Super Cartan domains of the first,second and third types are obtained.
论文给出了第一、第二和第三类超Cartan域上的Bloch函数的充分条件以及必要条件 。
2.
The sufficient conditions, necessary conditions for the Bloch function on Super Cartan domain of the fourth type are obtained.
给出了第四类超Cartan域上的Bloch函数的充分条件以及必要条件 。
补充资料：超导电性的局域和非局域理论（localizedandnon-localizedtheoriesofsuperconductivity）
超导电性的局域和非局域理论（localizedandnon-localizedtheoriesofsuperconductivity）
伦敦第二个方程（见“伦敦规范”）表明，在伦敦理论中实际上假定了js(r)是正比于同一位置r的矢势A(r)，而与其他位置的A无牵连；换言之，局域的A(r)可确定该局域的js(r)，反之亦然，即理论具有局域性，所以伦敦理论是一种超导电性的局域理论。若r周围r'位置的A(r')与j(r)有牵连而影响j(r)的改变，则A(r)就为非局域性质的。由于`\nabla\timesbb{A}=\mu_0bb{H}`，所以也可以说磁场强度H是非局域性的。为此，超导电性需由非局域性理论来描绘，称超导电性的非局域理论。皮帕德非局域理论就是典型的超导电性非局域唯象理论。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条