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111.
王琪 《武汉大学学报(理学版)》2003,49(5):553-555
首先得到一个推广的Simons型积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形对外围空间的一个拼挤定理. 相似文献
112.
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both sides of the Atiyah-Singer index formula for coupled Dirac operators can be given natural interpretations using this language and that the resulting formula is still an identity. 相似文献
113.
局部对称共形平坦黎曼流形中的紧致子流形 总被引:1,自引:0,他引:1
本文研究局部对称共形平坦黎曼流形中具有平行平均曲率向量的紧致子流形的性质,通过一个代数不等式的证明,改进了已有的结果. 相似文献
114.
Edward E. Allen 《Journal of Algebraic Combinatorics》2004,20(2):173-193
A two-variable analogue of the descents monomials is defined and is shown to form a basis for the dense Garsia-Haiman modules. A two-variable generalization of a decomposition of a P-partition is shown to give the algorithm for the expansion into this descent basis. Some examples of dense Garsia-Haiman modules include the coinvariant rings associated with certain complex reflection groups. 相似文献
115.
Victor Nistor 《K-Theory》1991,5(3):193-211
We define a Chern character for p-summable quasihomomorphisms. We study its properties and show that it is compatible with the analytic index. The results are similar to Connes' results on the Chern character on K-homology but the methods are different. This solves most of a problem of Connes. 相似文献
116.
主要研究单位开圆盘上■[z]-模的子模的刚性.证明了空间■_α(0<α<1)的子模具有刚性,这和Hardy空间的情况截然不同.本文还证明了Dirichlet空间的一类子模也具有刚性. 相似文献
117.
T拟内射模与TQI环 总被引:2,自引:0,他引:2
本文定义并刻划了T拟内射模与T拟内射包,证明了WG-cocriticalT拟内射模的自同态环为正则非奇异右自内射环.最后讨论了T拟内射模与T内射模一致的环,即TQI环.还给出了Gabriel拓扑G中每个右理想T拟内射的几个等价条件 相似文献
118.
We apply ideas from commutative algebra, and Morita theory to algebraic topology using ring spectra. This allows us to prove new duality results in algebra and topology, and to view (1) Poincaré duality for manifolds, (2) Gorenstein duality for commutative rings, (3) Benson–Carlson duality for cohomology rings of finite groups, (4) Poincaré duality for groups and (5) Gross–Hopkins duality in chromatic stable homotopy theory as examples of a single phenomenon. 相似文献
119.
On the theory and application of a domain decomposition method for computing conformal modules 总被引:2,自引:0,他引:2
N. Papamichael N.S. Stylianopoulos 《Journal of Computational and Applied Mathematics》1994,50(1-3):33-50
We consider the theory and application of a domain decomposition method for computing the conformal modules of long quadrilaterals. The method has been studied already by us and also by Gaier and Hayman. Our main purpose here is to extend its area of application and, in the same time, improve some of our earlier error estimates. 相似文献
120.
S. Verwulgen 《Applied Categorical Structures》2007,15(5-6):647-653
It is well-known (see Semadeni, Queen Pap. Pure Appl. Math., 33:1–98, 1973 and Pumplün and Röhrl, Commun. Algebra, 12(8):953–1019, 1984, 1985) that the embedding of vector spaces into the category of absolutely convex modules is reflective. As we will show, under a separatedness condition on these modules it is at the same time coreflective. This is a peculiar situation, see Kannan, Math. Ann., 195:168–174, (1972) and Hu $\textrm {\u{s}}It is well-known (see Semadeni, Queen Pap. Pure Appl. Math., 33:1–98, 1973 and Pumplün and R?hrl, Commun. Algebra, 12(8):953–1019, 1984, 1985) that the embedding of vector spaces into the category of absolutely convex modules is reflective. As we will show, under
a separatedness condition on these modules it is at the same time coreflective. This is a peculiar situation, see Kannan,
Math. Ann., 195:168–174, (1972) and Huek, Reflexive and coreflexive subcategories of unif and top, Seminar Uniform Spaces, Prague, 113–126, (1973), but we do find it also in the embedding (Lowen, Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad. Oxford Mathematical Monographs, Oxford
University Press, London, UK, 1997) and, by extension, in the embedding (see Lowen and Verwulgen, Houst. J. Math, 30(4):1127–1142, 2004, and Sioen and Verwulgen, Appl. Gen. Topol., 4(2):263–279, 2003. We demonstrate that, in this setting, by duality arguments, absolutely convex modules are indeed the numerical counterpart
of vector spaces. All these, at first sight unrelated facts, are comprised in the commutative scheme below with natural dualisation
functors and their left adjoints.
相似文献