Morse Theory
Mostrando 13-19 de 19 artigos, teses e dissertações.
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13. 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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14. Reconstrução 3D a partir de imagens de profundidade baseada em modelos deformaveis
The goal of this work is the reconstruction of three-dimensional mdels from range images, The proposed method in deformation of the initial surface, closed and triangulate, and adjusting it correctly to sample points in the range image data. The method combines the good properties of the ballon technique (controllable accuary, stability and simplicity) with
Publicado em: 1999
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15. MORSE THEORY AND STABILITY BY LIAPUNOV'S DIRECT METHOD*
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16. 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
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17. Bifurcation Theory and the Type Numbers of Marston Morse
Let H be a real Hilbert space and f(x,λ) be a C2 operator mapping a small neighborhood U of (x0,λ0) ε (H × R1) into itself. We investigate the solutions of the equation f(x,λ) = 0 near a solution (x0,λ0), assuming that f(x,λ) is a gradient mapping and 0 < dim Ker fx(x0,λ0) < ∞. In particular, we show that the type numbers of Marston Morse for an is
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18. Connectivities Ri of Fréchet Spaces in Variational Topology
A global study of geodesics, joining points A1 [unk] A2 on a Riemannian manifold Nn, is oriented by the answers given to two questions. How does the concept of a nondegenerate geodesic enter, and what topological invariants best condition the geodesics joining A1 to A2? We answer the first question by defining and exploiting nondegenerate point pairs A1 [unk
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19. Further analysis and comparative study of intermolecular interactions using dimers from the S22 database
Accurate MP2 and CCSD(T) complete basis set (CBS) interaction energy curves (14 points for each curve) have been obtained for 20 of the dimers reported in the S22 set and analytical Morse curves have been fitted that can be used in developing updated density functional theory (DFT) and force field models. The magnitude and the effect of the basis set superpo
American Institute of Physics.