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作者：KOBAYASHI, T
摘要：Let G' subset-of G be real reductive Lie groups and q a theta-stable parabolic subalgebra of Lie (G) x C. This paper offers a sufficient condition on (G, G', q) that the irreducible unitary representation A(q)BAR of G with non-zero continuous cohomology splits into a discrete sum of irreducible unitary representations of a subgroup G', each of finite multiplicity. As an application to purely analytic problems, new results on discrete series are also obtained for some pseudo-Riemannian (non-sym...
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作者：HE, ZX; SCHRAMM, O
作者单位：Weizmann Institute of Science
摘要：Let Q be a circle domain in the Riemann sphere C whose boundary has sigma-finite linear measure. We show that OMEGA is rigid in the sense that any conformal homeomorphism of Q onto any other circle domain is equal to the restriction of a Mobius transformation. Previously, Kaufman and Bishop have independently found examples of non-rigid circle domains whose boundary is a Cantor set of (Hausdorff) dimension one.
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作者：RADULESCU, F
作者单位：University of Bucharest; Romanian Academy; Institute of Mathematics of the Romanian Academy
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作者：MIKHALKIN, G
作者单位：Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
摘要：The subject of this paper is the problem of topological arrangement of real algebraic curves on real algebraic surfaces. In this paper I extend Rokhlin, Kharlamov-Gudkov-Krakhnov and Kharlamov-Marin congruences and give some applications of this extension. Among these applications there are new restrictions for topological arrangement of real algebraic curves of a given degree on hyperboloid and ellipsoid, new restrictions for complex orientations of curves on a hyperboloid and the topological...
