Homotopy Type
Mostrando 1-11 de 11 artigos, teses e dissertações.
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1. Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells
Abstract The nonlinear vibration and normal mode shapes of FG cylindrical shells are investigated using an efficient analytical method. The equations of motion of the shell are based on the Donnell’s non-linear shallow-shell, and the material is assumed to be gradually changed across the thickness according to the simple power law. The solution is provided
Lat. Am. j. solids struct.. Publicado em: 2017-03
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2. Tipos de homotopia dos grupos de gauge dos fibrados linhas quaterniônicos sobre esferas / Homotopy type of Gauge groups of quaternionic line bundles over spheres
Let p be a principal S POT. 3- bundle over a sphere S POT. n, with n>or =4. The subject of this work is to calculate the homotopy type of the gauge group G IND. pof these bundles p, extending the result determined by A. Kono [25] when n = 4. We present explicit formulas for the boundary operator in the homotopy exact sequence associated with the evaluation m
Publicado em: 2008
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3. The Conley index for discontinuous vector fields / O indice de Conley para campos de vetores descontinuos
The Conley index is a used as a topological invariant in the analysis of the qualitative behavior of dynamical systems. lnitially the theory was developed for continuous flows in finite dimensional spaces and later extended to the infinite dimensional setting as well as to the discrete case. ln this work, we present a Conley index theory for a class of disco
Publicado em: 2008
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4. Grupo de tranças e espaços de configurações
In this work, we study the Artin braid group, B(n), and the confguration spaces (ordered and unordered) of a path connected manifold of dimension 2. The fundamental group of confguration space (unordered) of IR2 is identifed with the Artin braid group. This identifcation is used to conclude that the confguration space of IR2 is an Eilenberg-MacLane space of
Publicado em: 2007
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5. O Teorema do h-cobordismo e a conjectura generalizada de PoincarÃ
The work of the following way In the first chapter it is developed to a list definitions and theorems that we found but important on subjects such as Topology, Differential Manifolds and aspects of the Algebraic Topology, which will be used in the following chapters. We considered advisable to indicate the demonstrations of the theorems, thus, like commentar
Publicado em: 2005
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6. On the homotopy type of the clique graph
If G is a graph, its clique graph K(G) is the intersection graph of all its (maximal) cliques. The complex G of a graph G is the simplicial complex whose simplexes are the vertex sets of the complete subgraphs of G. Here we study a sufficient condition for G and K(G) to be homotopic.
Journal of the Brazilian Computer Society. Publicado em: 2001
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7. FAKE TORI, THE ANNULUS CONJECTURE, AND THE CONJECTURES OF KIRBY*
The main result of this note (Theorem A) is that the set of piecewise linear (P.L.) manifolds of the same homotopy type as the n-torus, Tn, n ≥ 5, is in one-to-one correspondence with the orbits of An-3(π1Tn) [unk] Z2 under the natural action of the automorphism group of π1Tn. Every homotopy torus has a finite cover P.L. homeomorphic to Tn; hence the gen
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8. Solutions of a Lagrangian system on 𝕋2
A Lagrangian system on 𝕋2 that has been studied earlier under a geometrical condition and found to possess a pair of solutions, H±, homoclinic to periodic solutions, v±, of a given homotopy type, is considered further. It is shown with the aid of H± and variational arguments that, in fact, there is a much richer structure of homoclinics and heteroclini
The National Academy of Sciences.
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9. Compact negatively curved manifolds (of dim [unk] 3,4) are topologically rigid
Let M be a complete (connected) Riemannian manifold having finite volume and whose sectional curvatures lie in the interval [c1, c2] with -∞ < c1[unk]c2 < 0. Then any proper homotopy equivalence h:N → M from a topological manifold N is properly homotopic to a homeomorphism, provided the dimension of M is >5. In particular, if M and N are both compact (co
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10. Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds
A harmonic map f between two compact Kähler manifolds is shown to be either holomorphic or conjugate holomorphic under a suitable negativity condition on the curvature of the image manifold and a condition on the rank of df. As a consequence, a compact Kähler manifold of dimension ≥2 that is of the same homotopy type as a compact Kähler manifold with su
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11. A Setting for A Theorem of Bott
Inspired by Theorem A of Raoul Bott,1 Morse and Cairns2 have stated Corollary 23.3 below, a theorem of essentially the same character as Theorem A of Bott. The symbol [unk] in Corollary 23.3 means that the sets to the left and right of [unk] have the same homotopy type in the sense of Hilton (ref. 3, p. 3). Corollary 23.3 gives a setting to Bott's theorem in