共查询到20条相似文献,搜索用时 15 毫秒
1.
Mitsunori Imaoka 《Topology and its Applications》2010,157(15):2435-2445
We study the stable extendibility of R-vector bundles over the (2n+1)-dimensional standard lens space Ln(p) with odd prime p, focusing on the normal bundle to an immersion of Ln(p) in the Euclidean space R2n+1+t. We show several concrete cases in which is stably extendible to Lk(p) for any k with k?n, and in several cases we determine the exact value m for which is stably extendible to Lm(p) but not stably extendible to Lm+1(p). 相似文献
2.
3.
The power of the tangent bundle of the real projective space, its complexification and extendibility
Teiichi Kobayashi Hironori Yamasaki Toshio Yoshida 《Proceedings of the American Mathematical Society》2006,134(1):303-310
We establish the formulas on the power of the tangent bundle of the real projective -space and its complexification , and apply the formulas to the problem of extendibility and stable extendiblity of and .
4.
We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique
of matrix problems is used, similar to [2, 3]. 相似文献
5.
E. Ballico R. M. Miró -Roig 《Proceedings of the American Mathematical Society》1999,127(9):2557-2560
Fix a smooth projective 3-fold , , with ample, and . Assume the existence of integers with such that is numerically equivalent to . Let be the moduli scheme of -stable rank 2 vector bundles, , on with and . Let be the number ofits irreducible components. Then .
6.
One describes, using a detailed analysis of Atiyah-Hirzebruch spectral sequence, the tuples of cohomology classes on a compact,
complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes
more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe
in constructive terms the Chern classes of a vector bundle.
Since deceased. 相似文献
7.
Božidar. Jovanović 《Siberian Mathematical Journal》2007,48(4):616-620
We give a representation of the canonical vector bundles over the Grassmannian manifolds G(n, p) as noncompact symmetric affine spaces together with their Cartan model in the group of the Euclidean motions SE(n).
相似文献
8.
In this paper, a characterization for an I(L)-topological space to be generated by a given co-tower of L-topological spaces is obtained. Moreover, the relationship between some properties of an I(L)-topological vector space generated by a co-tower of L-topological vector spaces and the corresponding properties of the given co-tower of L-topological vector spaces is investigated. Our results show that if an I(L)-topological vector space generated by a co-tower of L-topological vector spaces has some properties, such as local convexity and local boundedness, then all L-topological vector spaces in the co-tower also have the same properties. But the converse is incorrect even in the case of I-topological vector space generated by a co-tower of classical topological vector spaces. Finally, we supply a necessary and sufficient condition for an I(L)-topological vector space generated by a co-tower of L-topological vector spaces with some properties, such as local convexity and local boundedness, to have such properties too. 相似文献
9.
E. Ballico 《Annali dell'Universita di Ferrara》2003,49(1):31-35
LetK be a compact subset of a complex spaceX. Here we give conditions onX andK assuring the existence of a fundamental systemU of open neighborhoods, ofK such that for everyU∈U there is a holomorphic vector bundleE onU which is not holomorphically trivial.
Sunto SiaX uno spazio complesso eK∩X un compatto. In questo lavoro diamo condizioni suX eK che garantiscono l'esistenza di un sistema fondamentale di intorni apertiU diK inX tali che per ogniU∈U esiste un fibrato olomorfo non-triviale suU.相似文献
10.
Caterina Consani 《K-Theory》1993,7(3):269-284
TheK-theory of the derived categories as well as someK-theoretic invariants associated to the resolution of singularities are applied in order to compute theK
0-groups of a variety with finitely many singular points. Explicit computations are given in order to determine theK
0 and the relative CH* groups of the affine cone over a nonsingular surface of degreed in
d+1 not contained in any hyperplane. 相似文献
11.
For natural numbers r,s,q,m,n with s≥r≤q we determine all natural functions g: T
*(J
(r,s,q)(Y, R
1,1)0)*→R for any fibered manifold Y with m-dimensional base and n-dimensional fibers. For natural numbers r,s,m,n with s≥r we determine all natural functions g: T
*(J
(r,s)
(Y, R)0)*→R for any Y as above. 相似文献
12.
A. Fernndez F. Mayoral F. Naranjo C. Sez E.A. Snchez-Prez 《Journal of Mathematical Analysis and Applications》2007,330(2):1249-1263
We use the integration structure of the spaces of scalar integrable functions with respect to a vector measure to provide factorization theorems for operators between Banach function spaces through Hilbert spaces. A broad class of Banach function spaces can be represented as spaces of scalar integrable functions with respect to a vector measure, but this representation (the vector measure) is not unique. Since our factorization depends on the vector measure that is used for the representation we also give a characterization of those vector measures whose corresponding spaces of integrable functions coincide. 相似文献
13.
Motivated by the theory of L-bornological spaces of M. Abel and A. Šostak over a complete lattice L, and the concept of topological system of S. Vickers, this paper introduces the categories of L-bornological vector spaces and systems, and shows that the former is isomorphic to a full reflective subcategory of the latter. 相似文献
14.
Evald Übi 《Central European Journal of Mathematics》2005,3(2):228-241
A linear programming problem is transformed to the finding an element of polyhedron with the minimal norm. According to A.
Cline [6], the problem is equivalent to the least squares problem on positive ortant. An orthogonal method for solving the
problem is used. This method was presented earlier by the author and it is based on the highly developed least squares technique.
First of all, the method is meant for solving unstable and degenerate problems. A new version of the artifical basis method
(M-method) is presented. Also, the solving of linear inequality systems is considered. 相似文献
15.
In this paper, the concept of a family of L-fuzzy pseudo-norms on vector spaces is proposed and the characterization of L-vector topologies in terms of a family of L-fuzzy pseudo-norms is presented. As applications of the characterization, the Hausdorff separation property, convergence of molecule nets and boundedness of L-sets in L-topological vector spaces are investigated. 相似文献
16.
17.
We express the real connective K-theory groups
o4k–1(B
Q
) ofthe quaternion group Q
of order = 2
j
8 in terms of therepresentation theory of Q
by showing
o4k–1(B
Q
) =
Sp(S
4k+3/Q
)where is any fixed point free representation of Q
in U(2k + 2). 相似文献
18.
A representation of the characteristic function of a stable probability measure on certain TV spaces
Balram S. Rajput 《Journal of multivariate analysis》1976,6(4):592-600
In this paper, a Lévy-Khintchine type representation of the characteristic function of a K-regular stable probability measure on real locally convex topological vector spaces, satisfying certain conditions, is presented. 相似文献
19.
Jeff Kiralis 《K-Theory》1996,10(2):135-174
A non-Abelian version of algebraic K-theory, based on automorphism of free products rather than automorphisms of free modules, is considered and is related to pseudo-isotopies of 3-manifolds.Sometime after writing this paper I learned that some of the algebraic results in it were first proved by Gersten in [13]. Specifically each of Theorems 3.1, 3.2 and 5.1 in the special case when is the trivial group, and Theorem 3.3 and its corollaries are all results of Gersten. I have left the paper as it is for the sake of completeness and since the approach here often differs considerably from Gersten's. 相似文献
20.
Xie-Ping Ding Jen-Chih Yao Lai-Jiu Lin 《Journal of Mathematical Analysis and Applications》2004,298(2):398-410
In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally G-convex uniform spaces. These theorems are new and generalize some known results in the literature. 相似文献