共查询到20条相似文献,搜索用时 15 毫秒
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A. Ben Abdesselem 《Bulletin des Sciences Mathématiques》2006,130(4):341-353
We prove that admissible functions for Fubini-Study metric on the complex projective space PmC of complex dimension m, invariant by a convenient automorphisms group, are lower bounded by a function going to minus infinity on the boundary of usual charts of PmC. A similar lower bound holds on some projective manifolds. This gives an optimal constant in a Hörmander type inequality on these manifolds, which allows us, using Tian's invariant, to establish the existence of Einstein-Kähler metrics on them. 相似文献
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Jacques Carmona 《Journal of Functional Analysis》2005,223(1):1-27
We associate several distribution boundary values to an eigenfunction with moderate growth on a riemannian symmetric space G/K; the associated character of the algebra D(G/K) of invariant differential operators is allowed to be non-regular. We prove results on the support of these boundary values. These allow us to recover the theorems of Matsuki-Oshima and Oshima on the equivalence between growth of an eigenfunction and limitations on the supports of its boundary values. Our approach is based on an asymptotic analysis that makes no use of hyperfunction theory. 相似文献
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The fundamental example of Gerstenhaber algebra is the space Tpoly(Rd) of polyvector fields on Rd, equipped with the wedge product and the Schouten bracket. In this paper, we explicitely describe what is the enveloping G∞ algebra of a Gerstenhaber algebra G. This structure gives us a definition of the Chevalley-Harrison cohomology operator for G. We finally show the nontriviality of a Chevalley-Harrison cohomology group for a natural Gerstenhaber subalgebra in Tpoly(Rd). 相似文献
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P. Delorme 《Journal of Functional Analysis》2004,217(2):314-346
We introduce a filtration of a -module of some space of functions on a reductive symmetric space G/H, and compute the associated grading as a direct sum of induced representations. As an application of this result to the reductive groups viewed as symmetric spaces, we are able to realize any Harish-Chandra module as a subquotient of a direct sum of induced representations from parabolic subgroups, the inducing representations being trivial on the unipotent radical. 相似文献
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A vanishing theorem and constraints are given for the Betti numbers of compact 3-Sasakian manifolds. 相似文献
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Shizan Fang 《Potential Analysis》1992,1(2):167-176
One studies three problems related to entropy phenomenon in the classical Wiener space. In particular, the minoration of the Wiener measure for the set {xX/(x)} is given where is a Sobolev norm in the Wiener spaceX. 相似文献
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We present in this article several possibilities to approach the height of an algebraic curve defined over a number field: as an intersection number via the Arakelov theory, as a limit point of the heights of its algebraic points and, finally, using the minimal degree of Belyi functions. 相似文献
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Nicolas Ginoux 《manuscripta mathematica》2008,125(3):383-409
We compute the fundamental Dirac operator for the three-parameter-family of homogeneous Riemannian metrics and the four different spin structures on SU2/Q8, where Q8 denotes the group of quaternions. We deduce its spectrum for the Berger metrics and show the sharpness of Christian Bär’s upper bound for the smallest Dirac eigenvalue in the particular case where SU2/Q8 is a homogeneous minimal hypersurface of S 4. 相似文献
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In this paper, we prove some existence results for the Webster scalar curvature problem on the three dimensional CR compact manifolds locally conformally CR equivalent to the unit sphere S3 of C2. Our methods are based on the techniques related to the theory of critical points at infinity. 相似文献
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Qun Chen 《manuscripta mathematica》1998,95(1):507-517
LetM, N be complete manifolds,u:M →N be a harmonic map with potentialH, namely, a critical point of the functionalE
H
(u)=∫
M
[e(u) − H(u)], wheree(u) is the energy density ofu. We will give a Liouville theorem foru with a class of potentialsH’s.
Research supported in part by NNSFC, SFECC and NSFCCNU. 相似文献
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This paper is concerned with problem of the geometry of B-manifolds. We give some properties of Riemannian curvature tensors of paraholomorphic B-manifolds. Finally, we consider some examples of paraholomorphic B-manifolds. 相似文献
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Andrea Loi 《Differential Geometry and its Applications》2005,23(1):55-66
In this paper we give a different proof of Engliš's result [J. Reine Angew. Math. 528 (2000) 1-39] about the asymptotic expansion of a Laplace integral on a real analytic Kähler manifold (M,g) by using the link between the metric g and the associated Calabi's diastasis function D. We also make explicit the connection between the coefficients of Engliš' expansion and Gray's invariants [Michigan Math. J. (1973) 329-344]. 相似文献
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Let G be a complex semi-simple Lie group and form its maximal flag manifold where P is a minimal parabolic (Borel) subgroup, U a compact real form and T=U∩P a maximal torus of U. We study U-invariant almost Hermitian structures on . The (1,2)-symplectic (or quasi-Kähler) structures are naturally related to the affine Weyl groups. A special form for them, involving abelian ideals of a Borel subalgebra, is derived. From the (1,2)-symplectic structures a classification of the whole set of invariant structures is provided showing, in particular, that nearly Kähler invariant structures are Kähler, except in the A2 case. 相似文献
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Nathalie Lagier 《Journal of Functional Analysis》2008,254(4):1088-1145
We generalize Casselman's pairing to p-adic reductive symmetric spaces and study the asymptotic behaviour of certain generalized coefficients. We also prove an analogue of a lemma due to Langlands which allows us to prove a disjunction result for the Cartan decomposition of the p-adic reductive symmetric spaces. 相似文献
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M. Benyounes 《Differential Geometry and its Applications》2007,25(3):322-334
We study harmonic sections of a Riemannian vector bundle E→M when E is equipped with a 2-parameter family of metrics hp,q which includes both the Sasaki and Cheeger-Gromoll metrics. For every k>0 there exists a unique p such that the harmonic sections of the radius-k sphere subbundle are harmonic sections of E with respect to hp,q for all q. In both compact and non-compact cases, Bernstein regions of the (p,q)-plane are identified, where the only harmonic sections of E with respect to hp,q are parallel. Examples are constructed of vector fields which are harmonic sections of E=TM in the case where M is compact and has non-zero Euler characteristic. 相似文献
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Research partially supported by the NSF 相似文献