共查询到18条相似文献,搜索用时 109 毫秒
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第三类超Cartan域上的凸性与kobayashi度量 总被引:1,自引:0,他引:1
考察第三类超Cartan域Y_(III)(k;N;q)的凸性,得到此域为凸域的充分必要条件.我们还计算出超cartan域Y_(III)(2;N;5)和超Cartan域Y_(III)(4;N;4)上的caratheodory度量和kobayashi度量. 相似文献
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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. 相似文献
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第三类超Cartan域上的比较定理 总被引:1,自引:0,他引:1
本文给出了第三类超Cartan域上不变Kalher度量下的全纯截曲率的表达式.利用其Bergman度量的完备性,构造了一个不比Bergman度量小的完备的不变Kalher度量,证明了在此Kalher度量下的全纯截曲率有一个负上界,从而证明了第三类超Cartan域的Bergman度量与Kobayashi度量的比较定理. 相似文献
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复Banach空间中单位球上双全纯凸映射的偏差定理 总被引:1,自引:0,他引:1
本文讨论一般复Banach空间上单位球B的Caratheodory度量和Kobayashi 度量的性质,并据此将Cn(n≥1)中单位球Bn上双全纯凸映射的矩阵形式偏差定理 推广到一般复Banach空间的单位球B上. 相似文献
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Let YI be the Cartan-Hartogs domain of the first type. We give the generating function of the Einstein-Kahler metrics on YI, the holomorphic sectional curvature of the invariant Einstein-Kahler metrics on YI. The comparison theorem of complete Einstein-Kahler metric and Kobayashi metric on YI is provided for some cases. For the non-homogeneous domain YI, when K =mn+1/m+n,m>1, the explicit forms of the complete Einstein-Kahler metrics are obtained. 相似文献
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DISTORTION THEOREMS FOR BIHOLOMORPHIC CONVEX MAPPINGS ON BOUNDED CONVEX CIRCULAR DOMAINS 总被引:3,自引:1,他引:2
1.TwoDifferentDistortionTheoremsVariousdistortiontheoremsforfamiliesofunivalentfunctionshavebeenstudiedsinceasearlyas1907whenK5bediscoveredhis"Verzerrungssatz",thedistortiontheoremfortheclassofunivalentfunctionsdefinedontheunitdiskillthecomplexplaneC.LetfiCC"beadomainandf(z)=(fi(z),.',m(z))beabiholomorphicmappingonfiwhichmapsfitoC".Therearemanycounter-examplestoshowthatIdetJj(z)landJI(z)Jj(z)'havenofiniteupperboundandnonon--zerolowerbound,whereJf(z)istheJacobianoffatpointz.LetfiCC"bea… 相似文献
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We study the class of smooth bounded weakly pseudoconvex domains that are of finite type (in the sense of J. Kohn) and prove effective estimates on the invariant distances of Bergman and
Kobayashi and also for the inner distance that is associated to the Caratheodory distance. 相似文献
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We solve the Caratheodory and Kobayashi extremal problems for the open symmetrized bidisc
We prove the equality of the Caratheodory and Kobayashi distances on G and describe the extremal functions for the two problems;
they are rational of degree 1or 2.G is the first example of a non convexifiable domain for which the two distances coincide. 相似文献
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As is known to all, theory of invariant metric is very important in several complex analysis. The Bergman, Caratheodory and Kobayashi metrics are important biholomorphic invariants. They play very important role in studying the boundary geometry of the domain and biholomorphic mappings extending smoothly to the boundaries of the relevant domains. 相似文献
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本文对一类拟凸域E(m,n,K)给出其不变Kahler度量下的全纯截曲率的显表达式,并构造了E(m,n,K)的一个不变的完备的Kahler度量,使得它大于或等于Bergman度量,而且其全纯截曲率的上界是一个负常数,从而得到E(m,n,K)的Bergman度量和Kobayashi度量的比较定理。 相似文献
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We consider the discrete-time system x ( n )= g x ( n m 1)+ f ( y ( n m k )), y ( n )= g y ( n m 1)+ f ( x ( n m k )), n ] N describing the dynamic interaction of two identical neurons, where g ] (0,1) is the internal decay rate, f is the signal transmission function and k is the signal transmission delay. We construct explicitly an attractive 2 k -periodic orbit in the case where f is a step function (McCulloch-Pitts Model). For the general nonlinear signal transmission functions, we use a perturbation argument and sharp estimates and apply the contractive map principle to obtain the existence and attractivity of a 2 k -periodic orbit. This is contrast to the continuous case (a delay differential system) where no stable periodic orbit can occur due to the monotonicity of the associated semiflow. 相似文献
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Żywomir Dinew 《Monatshefte für Mathematik》2013,172(3-4):277-291
We study the completeness of a metric which is related to the Bergman metric of a bounded domain (sometimes called the Burbea metric or Fuks metric). We provide a criterion for its completeness in the spirit of the Kobayashi criterion for the completeness of the Bergman metric. In particular we prove that in hyperconvex domains our metric is complete. 相似文献