共查询到20条相似文献,搜索用时 15 毫秒
1.
Axel Hundemer 《manuscripta mathematica》1999,98(4):403-408
It will be shown in this paper that the automorphism group of a bounded homogeneous domain D in ℂ
n
can never act freely on $D$. An equivalent statement is that the isotropy groups of bounded homogeneous domains always contain
at least two elements.
Received: 7 May 1998 相似文献
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In this paper we generalize the construction - introduced by Gagliardi and Grasselli in the closed case - of a coloured-graph
representing the product of two manifolds, starting by two coloured graphs representing the manifolds themselves, to the boundary
case. In particular we study the genus of the graph product of low dimensional manifold ( resp. n-spheres ) with m-disks.
Received September 28, 1998; in final form January 5, 2000 / Published online October 11, 2000 相似文献
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Andrea Iannuzzi 《manuscripta mathematica》1999,98(4):425-445
Let G be a real connected Lie group for which the universal complexification G
ℂ has a polar decomposition G
ℂ≅G exp(i?), where ? denotes the Lie algebra of G. The present paper is concerned with Riemann G-domains over the complex group G
ℂ viewed as a G-manifold via the left multiplication. Such a Riemann domain X is said to be of Reinhardt type if G contains a discrete cocompact subgroup $\Gamma$ for whichG/Γ is a Stein manifold. Here the following is proved: Every Riemann G-domain of Reinhardt type is schlicht, hence a G-tube domain, i.e., a G-invariant subdomain of G
ℂ. As an application one obtains conditions for a holomorphically separable G-manifold to be a G-tube domain.
Received: 22 October 1998 相似文献
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Joe Kamimoto 《Mathematische Zeitschrift》2001,236(3):585-603
For any weakly pseudoconvex tube domain in with real analytic boundary, there exist points on the boundary off the diagonal where the Bergman kernel and the Szeg? kernel
fail to be real analytic.
Received April 6, 1999; in final form August 28, 1999 / Published online December 8, 2000 相似文献
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Nonlinearizable holomorphic group actions 总被引:2,自引:0,他引:2
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Rudolf Winkel 《manuscripta mathematica》1999,100(1):55-79
Schubert polynomials of type B, C, and D have been described first by S. Billey and M. Haiman [BH] using a combinatorial method.
In this paper we give a unified algebraic treatment of Schubert polynomials of types A–D in the style of the Lascoux–Schützenberger
theory in type A, i.e. Schubert polynomials are generated by the application of sequences of divided difference operators
to “top polynomials”. The use of the creation operators for Q-Schur and P-Schur functions allows us to give: (1) simple and
natural forms of the “top polynomials”, (2) formulas for the easy computation with all divided differences, (3) recursive
structures, and (4) simplified derivations of basic properties.
Received: 23 July 1998 相似文献
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Denis A. Labutin 《manuscripta mathematica》2000,102(2):163-167
We show that any set E⊂C
n
, n≥ 2, with finite Hausdorff measure? is pluripolar. The result is sharp with respect to the measuring function. The new idea in the proof is to combine a construction
from potential theory, related to the real variational integral , , with properties of the pluricomplex relative extremal function for the Bedford–Taylor capacity.
Received: 20 May 1999 相似文献
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Loyiso G. Nongxa 《manuscripta mathematica》1999,100(2):159-171
A necessary and sufficient condition is derived for an arbitrary cyclic regulating almost completely decomposable group to
belong to a K(n)-class, n≥ 0. This allows one to formulate a Structure Theorem for clipped p-primary cyclic regulating groups in each K(n)-class. Using the Indecomposability Criterion we construct an example of an indecomposable balanced Butler group which does
not have a unique regulating subgroup.
Received: 3 November 1998 相似文献
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We find natural conditions under which all continuous linear operators between two scalar or vector-valued quasi-Banach sequence
spaces are compact. In the case of scalar-valued Banach sequence spaces we show that all such operators essentially factorize
through diagonal operators between suitable -spaces.
(Received 21 June 1999; in revised form 27 September 1999) 相似文献
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We study continuous product domains in the space of all continuousE-valued functions on , where is a compact Hausdorff topological space and E is an arbitrary JB-triple, and discuss the group of holomorphic automorphisms of domains of that type.
Received November 9, 1998; in final form March 23, 1999 / Published online May 8, 2000 相似文献
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Yongdo Lim 《Mathematische Zeitschrift》2000,234(2):407-411