共查询到20条相似文献,搜索用时 15 毫秒
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We prove that the isometry group ?(\(\mathcal{N}\)) of an arbitrary Riemannian orbifold \(\mathcal{N}\), endowed with the compact-open topology, is a Lie group acting smoothly and properly on \(\mathcal{N}\). Moreover, ?(\(\mathcal{N}\)) admits a unique smooth structure that makes it into a Lie group. We show in particular that the isometry group of each compact Riemannian orbifold with a negative definite Ricci tensor is finite, thus generalizing the well-known Bochner’s theorem for Riemannian manifolds. 相似文献
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Yunfeng Jiang 《Proceedings of the American Mathematical Society》2008,136(12):4151-4156
Any toric Deligne-Mumford stack is a -gerbe over the underlying toric orbifold for a finite abelian group . In this paper we give a sufficient condition so that certain kinds of gerbes over a toric Deligne-Mumford stack are again toric Deligne-Mumford stacks.
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《Indagationes Mathematicae》2014,25(5):1154-1159
We construct a corank one Poisson manifold which is of strong compact type, i.e., the associated Lie algebroid structure on its cotangent bundle is integrable, and the source 1-connected (symplectic) integration is compact. The construction relies on the geometry of the moduli space of marked K3 surfaces. 相似文献
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Margarita Kraus 《Annals of Global Analysis and Geometry》2001,19(3):235-257
We consider the Dirac operator on fibrations overS
1 which have up to holonomy a warped product metric. Wegive lower bounds for the eigenvalues on M and if the Diracoperator on the typical fibre F has a kernel, we calculatethe corresponding part of the spectrum on M explicitly.Moreover, we discuss the dependence of the spectrum of theholonomy and obtain bounds for the multiplicity of the eigenvalues. 相似文献
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The aim of this note is to give a geometric proof for classical local rigidity of lattices in semisimple Lie groups. We are reproving well known results in a more geometric (and hopefully clearer) way. 相似文献
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Jing-song CHAI Xu-ri CONG Center of Mathematical Sciences Zhejiang University Hangzhou China 《中国科学A辑(英文版)》2007,50(7):951-956
Let F be a non-archimedean local field of characteristic 0 and(?)a nontrivial additive character.Weil first defined the Weil indexγ(a,(?))(a∈F~*)in his famous paper,from which we know thatγ(a,(?))γ(b,(?))=γ(ab,(?))γ(1,(?))(a,b)andγ(a,(?))~4 =(-1,-1),where(a,b)is the Hilbert symbol for F.The Weil index plays an important role in the theory of theta series and in the general representation theory.In this paper,we establish an identity relating the Weil indexγ(a,(?))and the Gauss sum. 相似文献
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John R. Akeroyd 《Journal of Mathematical Analysis and Applications》2022,505(2):125525
We modify an idea in an earlier paper to enlarge the collection of inner functions that are known to be in the uniform closure of the indestructible Blaschke products. 相似文献
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Ajda Fošner 《Czechoslovak Mathematical Journal》2006,56(3):981-986
Let H be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ℬ(H), the algebra of all bounded linear operators on a Hilbert space H, is an automorphism. 相似文献
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It is shown that for a large class of Lie groups (called weakly algebraic groups) including all connected semisimple Lie groups the following holds: for any probability measure on the Lie group the set of all two-sided convolution factors is compact if and only if the centralizer of the support of inG is compact. This is applied to prove that for any connected Lie groupG, any homomorphism of any real directed (submonogeneous) semigroup into the topological semigroup of all probability measures onG is locally tight. 相似文献
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In this paper, we investigate the holonomy structure of the most accessible and demonstrative 2-dimensional Finsler surfaces, the Randers surfaces. Randers metrics can be considered as the solutions of the Zermelo navigation problem. We give the classification of the holonomy groups of locally projectively flat Randers two-manifolds of constant curvature. In particular, we prove that the holonomy group of a simply connected non-Riemannian projectively flat Finsler two-manifold of constant non-zero flag curvature is maximal and isomorphic to the orientation preserving diffeomorphism group of the circle. 相似文献
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Permutation polynomials over finite fields constitute an active research area and have applications in many areas of science and engineering. In this paper, two conjectures on permutation polynomials proposed recently by Wu and Li [19] are settled. Moreover, a new class of permutation trinomials of the form is also presented, which generalizes two examples of [10]. 相似文献
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We show that some power of the discriminant must appear in the upper bound of the formulation of Siegel's Lemma over a number field.First author partially supported by NSERC 相似文献
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In this paper, after giving a criterion for a Noetherian local ring to be quasi-Gorenstein, we obtain some sufficient conditions
for a quasi-Gorenstein ring to be Gorenstein. In the course, we provide a slight generalization of a theorem of Evans and
Griffith.
Received: 16 February 2008 相似文献
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Alexandru Tupan 《Expositiones Mathematicae》2010,28(3):262-264
Let K be a finite or a local field of characteristic ≠2. We give a new proof, in a slightly more general case, for the following classical theorem of Milnor. If two unitary operators of a quadratic space over K have the same irreducible minimal polynomial, then they are conjugate via a unitary operator. Our arguments are short and elementary. 相似文献
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Let p be an odd prime, c be an integer with (c, p) = 1, and let N be a positive integer with N ≤ p − 1. Denote by r(N, c; p) the number of integers a satisfying 1 ≤ a ≤ N and 2 ∤ a + ā, where ā is an integer with 1 ≤ ā ≤ p − 1, aā ≡ c (mod p). It is well known that r(N, c; p) = 1/2N + O(p
1/2log2
p). The main purpose of this paper is to give an asymptotic formula for Σ
c=1
p−1(r(N, c; p) − 1/2N)2. 相似文献
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A NOTE ON BEURLING-DENY FORMULAE IN INFINITE DIMENSIONAL SPACES 总被引:1,自引:0,他引:1
1.IntroductionandMainResultsAsisIvellknown,theBeurling-DenyformulaeplayimportalrolesinthetheoryofregularDirichletformsonlocallycompactseparablemetricspaces.See[4]forarecentnicerepreselltationinthisconnection.ThepurposeofthispaperistoextendtheBeurlingDenyformulaetoquasi-regularDirichletforms,inparticulartoDirichletformsoninfinitedimensionalstatespaces.RecallthataDirichletformisquasi-regularifandonlyifitisassociatedwitharightcontinuousstrongMarkovprocesslivingesselltiallyonametriZableLusin… 相似文献