共查询到20条相似文献,搜索用时 15 毫秒
1.
Mihai Halic 《manuscripta mathematica》1999,99(3):371-381
The article investigates the geography of closed, connected and simply connected, six-dimensional manifolds. It is proved
that any triple of integers satisfying some necessary arithmetical restrictions occurs as the Chern triple of such a manifold.
The main tools used for producing the examples are the symplectic connected sum and the symplectic blow-up.
Received: 28 May 1998 / Revised version: 22 January 1999 相似文献
2.
The algorithm is a structure-preserving algorithm for computing the spectrum of symplectic matrices. Any symplectic matrix can be reduced to symplectic butterfly form. A symplectic matrix in butterfly form is uniquely determined by parameters. Using these parameters, we show how one step of the symplectic algorithm for can be carried out in arithmetic operations compared to arithmetic operations when working on the actual symplectic matrix. Moreover, the symplectic structure, which will be destroyed in the numerical process due to roundoff errors when working with a symplectic (butterfly) matrix, will be forced by working just with the parameters.
3.
Hui Li 《Transactions of the American Mathematical Society》2003,355(11):4543-4568
Assume is a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian circle action, such that the fixed point set consists of isolated points or compact orientable surfaces. We restrict attention to the case . We give a complete list of the possible manifolds, and determine their equivariant cohomology rings and equivariant Chern classes. Some of these manifolds are classified up to diffeomorphism. We also show the existence for a few cases.
4.
5.
6.
Katharina Habermann 《Annals of Global Analysis and Geometry》1995,13(2):155-168
Symplectic spinors were introduced by B. Kostant in [4] in the context of geometric quantization. This paper presents further considerations concerning symplectic spinors. We define the spinor derivative induced by a symplectic covariant derivative. We compute an explicit formula for this spinor derivative and prove some elementary properties. This makes it possible to define the symplectic Dirac operator in a canonical way. In case of a symplectic and torsion-free covariant derivative it turns out to be formally selfadjoint. 相似文献
7.
Let V be a 6-dimensional vector space over a field F, let f be a nondegenerate alternating bilinear form on V and let Sp(V,f)≅Sp6(F) denote the symplectic group associated with (V,f). The group GL(V) has a natural action on the third exterior power ?3V of V and this action defines five families of nonzero trivectors of V (four of whose are orbits for any choice of F). In this paper, we divide three of these five families into orbits for the action of Sp(V,f)⊆GL(V) on ?3V. 相似文献
8.
Theoretical and Mathematical Physics - We study automorphisms of a $$6$$ -torus with one-dimensional stable and unstable manifolds, and a four-dimensional center manifold. Such automorphisms are... 相似文献
9.
10.
11.
12.
13.
14.
15.
Monatshefte für Mathematik - We regard the real symplectic group $$Sp(2n,{{mathbb {R}}})$$ as a constraint submanifold of the $$2ntimes 2n$$ real matrices $${mathcal {M}}_{2n}({{mathbb... 相似文献
16.
V. L. Kalinin 《Journal of Mathematical Sciences》1978,10(1):71-73
Analytic continuation is proved for certain Eisenstein series on the symplectic group which are associated with nonparabolic forms. In the case of the full modular group an explicit functional equation is obtained, and the singularities of the series are completely described.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 69, pp. 103–105, 1977.The author is grateful to Prof. A. N. Andrianov for posing the problem and for his constant attention to the work. 相似文献
17.
Allen Moy 《Journal of Number Theory》1984,19(3):341-344
Let F be a p-adic field. If n is a natural number relatively prime to p, then all the irreducible n-dimensional Galois representations are parametrized by admissible characters. This parametrization is used to determine which of these characters are real-valued, and among the real-valued representations to distinguish the orthogonal representations from the symplectic representations. 相似文献
18.
Let V be a 6-dimensional vector space over a field , let f be a nondegenerate alternating bilinear form on V and let denote the symplectic group associated with . The group has a natural action on the third exterior power of V and this action defines five families of nonzero trivectors of V. Four of these families are orbits for any choice of the field . The orbits of the fifth family are in one-to-one correspondence with the quadratic extensions of that are contained in a fixed algebraic closure of . In this paper, we divide the orbits corresponding to the separable quadratic extensions into suborbits for the action of on . 相似文献
19.
Malkhaz Bakuradze 《Transactions of the American Mathematical Society》1997,349(11):4385-4399
The main result of this paper is the nilpotency fomula , for N. Ray classes in the torsion of the symplectic bordism ring
20.
We study the geometry of manifolds carrying symplectic pairs consisting of two closed -forms of constant ranks, whose kernel foliations are complementary. Using a variation of the construction of Boothby and Wang we build contact-symplectic and contact pairs from symplectic pairs.