共查询到20条相似文献,搜索用时 15 毫秒
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We show that the group of holomorphic automorphisms of a Stein manifold X with dim X ≥ 2 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group. 相似文献
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Róbert Szőke 《Mathematische Zeitschrift》1995,219(1):357-385
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S Senthamarai Kannan 《Proceedings Mathematical Sciences》1998,108(1):1-12
We study torus quotients of principal homogeneous spaces. We classify the Grassmannians for which semi-stable=stable and as an application we construct smooth projective varieties as torus quotients of certain homogeneous spaces. We prove the finiteness of the ring ofT invariants of the homogeneous co-ordinate ring of the GrassmannianG 2,n (n odd) over the ring generated byR 1, the first graded part of the ring ofT invariants. 相似文献
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Imre Patyi 《Comptes Rendus Mathematique》2011,349(1-2):43-45
We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a separable Banach space. 相似文献
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The purpose of this note is to prove some theorems on set theoretic complete intersections in Stein manifolds (or Stein spaces) which are analogous to results in affine algebraic geometry. Due to the Oka principle in Stein theory one gets stronger results. For example any locally complete intersection Y of dimension 3 in a Stein space X with dim X>2 dim Y is a set theoretic6 complete intersection. A 4-dimensional submanifold of6 is a set theoretic complete intersection if sc
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(Y)=0 for some integer s>0.Der erstgenannte Autor dankt der Alexander-von-Humboldt-Stiftung für ein Stipendium zu einem Gastaufenthalt an der Universität Münster 相似文献
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Kevin E. Osondu 《Semigroup Forum》1980,21(1):143-152
This paper constructs from the homogeneous quotients of an arbitrary semigroupS a universal group (G(S), γ) onS. If S is left reversible and cancellative, thenG(S) coincides with the embedding group of quotients of S due to Ore. If S is an inverse semigroup, G(S) coincides with the maximum
group homomorphic image of S due to Munn. In these cases, γ coincides with the embedding and canonical homomorphism respectively
ofS intoG(S).
In general (G(S), γ) is equivalent to the universal group on S due to N. Bouleau. A universal group constructed from the set
of Lambek ratios had earlier been exhibited by A.H. Clifford and G.B. Preston for cancellative semigroups satisfying the condition
Z of Malcev. No previous construction has, however, emerged as a direct generalisation of both the work of Ore and Munn as
does the present.
Elementary properties of homogeneous quotients are employed to illuminate Bouleau's counter-example on why certain Malcev
conditions are insufficient to guarantee the embeddability of a semigroup in a group. 相似文献
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We study holomorphic flows on Stein manifolds. We prove that a holomorphic flow with isolated singularities and a dicritical
singularity of the form
on a Stein manifold
with
, is globally analytically linearizable; in particular M is biholomorphic to
. A complete stability result for periodic orbits is also obtained.
Bruno Scárdua: Partially supported by ICTP-Trieste-Italy.
Received: 27 September 2006 相似文献
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Jörg Winkelmann 《Mathematische Zeitschrift》2001,236(4):883-901
We construct infinite discrete subsets of Stein manifolds with remarkable properties. These generalize results of Rosay and
Rudin on discrete subsets of .
Received August 21, 1998; in final form October 11, 1999 / Accepted Published online February 5, 2001 相似文献
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In this paper we obtain new topological restrictions on Lagrangian embeddings into subcritical Stein manifolds. We also extend
previous results of Gromov, Oh, Polterovich and Viterbo on Lagrangian submanifolds of ℂ
n
to the more general case of subcritical Stein manifolds.
Research partially supported by the US-Israel Binational Science Foundation grant 1999086. 相似文献
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L. Battisti 《Mathematische Zeitschrift》2013,275(1-2):549-568
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Four-dimensional locally homogeneous Riemannian manifolds are either locally symmetric or locally isometric to Riemannian Lie groups. We determine how and to what extent this result holds in the Lorentzian case. 相似文献
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We define the notion of a (weak) almost para-CR structure on a manifold M as a distribution HM ⊂ TM together with a field K ∈ Γ(End(HM)) of involutive endomorphisms of HM. If K satisfies integrability conditions, then (HM, K) is called a (weak) para-CR structure. Under some regularity conditions, an almost para-CR structure can be identified with a Tanaka structure. The notion of maximally homogeneous almost para-CR structure of a semisimple type is defined. A classification of such maximally homogeneous almost para-CR structures is given in terms of appropriate gradations of real semisimple Lie algebras. All such maximally homogeneous structures of depth two (which correspond to depth two gradations) are listed and the integrability conditions are verified.Mathematics Subject Classifications (1991): 53C15, 53D99, 58A14 相似文献
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Joseph A. Wolf 《Geometriae Dedicata》1995,57(1):111-120
The complete homogeneous pseudo-Riemannian manifolds of constant non-zero curvature were classified up to isometry in 1961 [1]. In the same year, a structure theory [2] was developed for complete flat homogeneous pseudo-Riemannian manifolds. Here that structure theory is sharpened to a classification. This completes the classification of complete homogeneous pseudo-Riemannian manifolds of arbitrary constant curvature.Research partially supported by N.S.F. Grant DMS 93 21285. 相似文献
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A classification of homogeneous pseudo-Riemannian structures and a characterization of each primitive class are obtained. Several examples are also given. 相似文献