Examples of using Vector bundle in English and their translations into Portuguese
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On the other hand, a vector bundle always has a global section, namely the zero section.
In mathematics, K-theory is, roughly speaking,the study of a ring generated by vector bundles over a topological space or scheme.
Given a connection over a vector bundle we can use it to build the parallel transport of elements in the bundle along curves of the base manifold.
It originated as the study of a ring generated by vector bundles over a topological space or scheme.
Vikram Bhagvandas Mehta(August 15, 1946- June 4, 2014)was an Indian mathematician who worked on algebraic geometry and vector bundles.
Finally, we relate the concepts of stable sets andattractors for the zero section of a vector bundle in the context of n-time semiflows and control systems.
In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry,the Chern classes are characteristic classes associated to complex vector bundles.
This thesis deals with the problem of how to de ne the concept of a cone structure in a vector bundle and, in particular, of a causal structure in a manifold.
Instanton bundles are a class of algebraic vector bundles, first introduced in mathematical physics as solutions of the Yang-Mills equation over compactified space-time.
More formally, in algebraic topology anddifferential topology a line bundle is defined as a vector bundle of rank 1.
If"X" is a topological space, then the category of all(real or complex) vector bundles on"X" is not usually an abelian category, as there can be monomorphisms that are not kernels.
Let E and F be two vector bundles over a differentiable manifold M. An R-linear mapping of sections P: Γ(E)→ Γ(F) is said to be a kth-order linear differential operator if it factors through the jet bundle JkE.
In mathematics, the splitting principle is a technique used to reduce questions about vector bundles to the case of line bundles. .
In general if V is a vector bundle on a space X, with constant fibre dimension n, the n-th exterior power of V taken fibre-by-fibre is a line bundle, called the determinant line bundle. .
In mathematics, the Yang-Mills-Higgs equations are a set of non-linear partial differential equations for a Yang-Mills field, given by a connection, and a Higgs field,given by a section of a vector bundle.
In other words,there exists a linear mapping of vector bundles i P: J k( E)→ F{\displaystyle i_{P}: J^{k}(E)\rightarrow F\,} such that P i P∘ j k{\displaystyle P=i_{P}\circj^{k}} where jk: Γ(E)→ Γ(Jk(E)) is the prolongation that associates to any section of E its k-jet.
Moreover, we show the serre-swan theorem, which says that if x is a compact hausdorff space then there is a categorical equivalence between the category of¿nitely generated projective c(x)-modules and the category of vector bundles over x.
Cambridge University Press, Cambridge, 2002. xii+544 pp. ISBN 0-521-79160-X and ISBN 0-521-79540-0 Vector Bundles and K-Theory Spectral Sequences in Algebraic Topology Basic Topology of 3-Manifolds Hatcher's official page Hatcher's personal homepage Allen Hatcher at the Mathematics Genealogy Project.
Together with Cornelius Lanczos and Magnus Hestenes,he invented the conjugate gradient method, and gave what is now understood to be a partial construction of the Stiefel-Whitney classes of a real vector bundle, thus co-founding the study of characteristic classes.
He received his A.B. from Princeton University in 1990 andhis Ph.D. from Harvard University in 1994 with a thesis entitled'A Compactification over the Moduli Space of Stable Curves of the Universal Moduli Space of Slope-Semistable Vector Bundles.
In this work we will give the basic theory of symmetries of differential equations.the goal of this work is searching for invariant solutions of differential operators which are defined on vector bundles with respect to the transverse action of a lie group in such bundles. .
The resulting determinant bundle is responsible for the phenomenon of tensor densities, in the sense that for an orientable manifold it has a global section, and its tensor powers with any real exponent may be defined andused to'twist' any vector bundle by tensor product.
We develop new techniques in the setting of fs and dfs spaces(frechet-schwartz spaces and their strong duals) and apply them to the study of the following question:when regularity properties of a general linear dierential operator(between gevrey vector bundles over a gevrey manifold) imply solvability of its transpose in the sense of ultradistributions?