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1.
There is a natural duality between orbits of a real form G of a complex semisimple group G
on a homogeneous rational manifold Z=G
/P and those of the complexification K
of any of its maximal compact subgroups K: (,) is a dual pair if is a K-orbit. The cycle space C() is defined to be the connected component containing the identity of the interior of {g:g() is non-empty and compact}. Using methods which were recently developed for the case of open G-orbits, geometric properties of cycles are proved, and it is shown that C() is contained in a domain defined by incidence geometry. In the non-Hermitian case this is a key ingredient for proving that C() is a certain explicitly computable universal domain.Research of the first author partially supported by Schwerpunkt Global methods in complex geometry and SFB-237 of the Deutsche Forschungsgemeinschaft.The second author was supported by a stipend of the Deutsche Akademische Austauschdienst. 相似文献
2.
M. A. Podkolzina 《Moscow University Mathematics Bulletin》2009,64(1):39-40
The problem on the number of precomplete classes in the functional system P κ τ is considered, elements of P κ τ are deterministic S-functions defined on words of length τ composed from letters of an alphabet of cardinality κ. An asymptotics for the number of S-precomplete classes in P κ τ is obtained for arbitrary fixed κ and τ tending to infinity. 相似文献
3.
In this paper, we study closed k-maximal spacelike hypersurfaces M
n
in anti-de Sitter space H
1
n+1 (−1) with two distinct principal curvatures and give some integral formulas about these hypersurfaces.
The first author was supported by Japan Society for Promotion of Science. The third author was supported by grant Proj. No.
R17-2008-001-01000-0 from Korea Science & Engineering Foundation. 相似文献
4.
In this paper we use a new equivalent condition of Hamiltonian stationary Lagrangian surfaces in ℂP2 to show that any Hamiltonian stationary Lagrangian torus in ℂP2 can be constructed from a pair of commuting Hamiltonian ODEs on a finite dimensional subspace of a certain loop Lie algebra,
i.e., is of finite type.
Mathematics Subject Classifications (2000): Primary 53C40; Secondary 53C42, 53D12 相似文献
5.
In this paper we give a characterization of the pointwise multipliers of the holomorphic Triebel-Lizorkin spaces F, qs, and we apply these results to prove a corona decomposition theorem for these spaces.Mathematics Subject Classification (1991):32A37Both authors partially supported by DGICYT Grant BMF2002-04072-C02-01 and CIRIT Grant 2001-SGR-00172 相似文献
6.
A. M. Jerbashian J. Pejendino 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2018,53(4):212-222
Some extensions of the results of the first author related with the Hilbert spaces A ω,0 2 of functions holomorphic in the half–plane are proved. Some new Hilbert spaces A ω 2 of Dirichlet type are introduced, which are included in the Hardy space H2 over the half–plane. Several results on representations, boundary properties, isometry, interpolation, biorthogonal systems and bases are obtained for the spaces A ω 2 ? H2. 相似文献
7.
We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the
classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set H
ω in the case where the sequences ψ that generate the classes tend to zero not faster than a power function. 相似文献
8.
In this paper theI andII regularn-simplices are introduced. We prove that the sufficient and necessary conditions for existence of anI regularn-simplex in ℝ
n
are that ifn is even thenn = 4m(m + 1), and ifn is odd thenn = 4m + 1 with thatn + 1 can be expressed as a sum of two integral squares orn = 4m - 1, and that the sufficient and necessary condition for existence of aII regularn-simplex in ℝ
n
isn = 2m
2 - 1 orn = 4m(m + 1)(m ∈ ℕ). The connection between regularn-simplex in ℝ
n
and combinational design is given. 相似文献
9.
Diarmuid Crowley 《Geometriae Dedicata》2010,148(1):15-33
We calculate \({\mathcal{S}^{{\it Diff}}(S^p \times S^q)}\), the smooth structure set of S p × S q , for p, q ≥ 2 and p + q ≥ 5. As a consequence we show that in general \({\mathcal{S}^{Diff}(S^{4j-1}\times S^{4k})}\) cannot admit a group structure such that the smooth surgery exact sequence is a long exact sequence of groups. We also show that the image of the forgetful map \({\mathcal{S}^{Diff}(S^{4j}\times S^{4k}) \rightarrow \mathcal{S}^{Top}(S^{4j}\times S^{4k})}\) is not in general a subgroup of the topological structure set. 相似文献
10.
The minimum number of total independent partition sets of V ∪ E of graph G(V,E) is called the total chromatic number of G denoted by χ
t
(G). If the difference of the numbers of any two total independent partition sets of V ∪ E is no more than one, then the minimum number of total independent partition sets of V ∪ E is called the equitable total chromatic number of G, denoted by χ
et
(G). In this paper, we obtain the equitable total chromatic number of the join graph of fan and wheel with the same order.
Supported by the National Natural Science Foundation of China (No. 10771091). 相似文献
11.
Crossing numbers of graphs are in general very difficult to compute. There are several known exact results on the crossing
number of the Cartesian products of paths, cycles or stars with small graphs. In this paper we study cr(Km □ Pn), the crossing number of the Cartesian product Km □ Pn. We prove that
for m ≥ 3,n ≥ 1 and cr(Km □ Pn)≥ (n − 1)cr(Km+2 − e) + 2cr(Km+1). For m≤ 5, according to Klešč, Jendrol and Ščerbová, the equality holds. In this paper, we also prove that the equality holds for
m = 6, i.e., cr(K6 □ Pn) = 15n + 3.
Research supported by NFSC (60373096, 60573022). 相似文献
12.
The prime graph of a finite group was introduced by Gruenberg and Kegel. The degree pattern of a finite group G associated to its prime graph was introduced in [1] and denoted by D(G). The group G is called k-fold OD-characterizable if there exist exactly k non-isomorphic groups H satisfying conditions (1) |G| = |H| and (2) D(G) = D(H). Moreover, a 1-fold OD-characterizable group is simply called an OD-characterizable group. Till now a lot of finite simple groups were shown to be OD-characterizable, and also some finite groups especially the automorphism
groups of some finite simple groups were shown not being OD-characterizable but k-fold OD-characterizable for some k > 1. In the present paper, the authors continue this topic and show that the automorphism groups of orthogonal groups O
10+(2) and O
10−(2) are OD-characterizable. 相似文献
13.
In this paper, the structure of the critical group of the graph K
m
× C
n
is determined, where m, n ≥ 3. 相似文献
14.
Tao Feng 《Designs, Codes and Cryptography》2009,51(2):175-194
Let D be a (v, k, λ)-difference set in an abelian group G, and (v, 31) = 1. If n = 5p
r
with p a prime not dividing v and r a positive integer, then p is a multiplier of D. In the case 31|v, we get restrictions on the parameters of such difference sets D for which p may not be a multiplier.
相似文献
15.
In this paper, we study the high-dimensional fractional Hausdorff operators and establish their boundedness on the real Hardy spaces H p (? n ) for 0 < p < 1. 相似文献
16.
Let X be a (closed) subspace of Lp with 1≤p<∞, and let A be any sectorial operator on X. We consider associated square functions on X, of the form and we show that if A admits a bounded H∞ functional calculus on X, then these square functions are equivalent to the original norm of X. Then we deduce a similar result when X=H1(ℝN) is the usual Hardy space, for an appropriate choice of || ||F. For example if N=1, the right choice is the sum for h ∈ H1(ℝ), where H denotes the Hilbert transform. 相似文献
17.
A. I. Kamzolov 《Moscow University Mathematics Bulletin》2007,62(6):228-236
Asymptotic estimates for a norm of partial sums of Fourier-Jacobi series of functions from L p (α,β) are obtained. 相似文献
18.
Here we study complete rotation hypersurfaces with constant k-th mean curvature Hk in
even and 2 < k < n. We prove the existence of a constant
such that there are no such hypersurfaces for
. We have only one compact hypersurface of this kind with
. For each
there is a corresponding family of complete immersed rotation hypersurfaces, each family containing two isoparametric hypersurfaces.
For Hk ≥ 0, there is also such a family, now containing only one isoparametric hypersurface. Finally, we prove the existence of
compact hypersurfaces with arbitrarily large Hk , neither isometric to a sphere nor to a product of spheres.
*Bull. Braz. Math. Soc. 30 (2), 1999, 139–161.
**Partially supported by FUNCAP, Brazil.
***Partially supported by CNPq, Brazil and DGAPA-UNAM, México. 相似文献
19.
20.
In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable. 相似文献