Differentiable Manifolds
Mostrando 1-7 de 7 artigos, teses e dissertações.
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1. FolheaÃÃes completas de formas espaciais por hipersuperfÃcies / Complete foliations of space forms by hypersurfaces
Estudamos folheaÃÃes de formas espaciais por hipersuperfÃcies completas, sob certas condiÃÃes sobre as suas curvaturas mÃdias de ordem superior. Em particular, no espaÃo euclidiano obtemos um Teorema tipo-Bernstein para grÃficos cujas curvaturas mÃdia e escalar nÃo mudam de sinal (podendo ser nÃo constantes). NÃs tambÃm estabelecemos a nÃo exis
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 29/04/2010
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2. HipersuperfÃcies com r-Ãsima curvatura mÃdia constante positiva em Mm X R / Embedded positive constant r-mean curvature hypersurfaces in M X R
Neste trabalho, definimos as transformaÃÃes de Newton e provamos algumas propriedades relacionadas a elas. Fizemos um estudo sobre operador elÃptico e usamos isso para provar que dadas algumas condiÃÃes para a curvatura seccional de uma variedade riemanniana M, conseguimos majorar a funÃÃo altura (em modulo) de um grÃfico vertical compacto imerso em
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 01/03/2010
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3. Sobre teoremas de equilíbrio de Nash / On Nash equilibrium theorems
In this work, applying methods of Algebraic Topology, we obtain new versions of the Nash equilibrium theorem. We define a concept of local equilibrium for non-cooperative games, the socalled weak local equilibrium, and we prove its existence when the spaces of strategies are differentiable manifolds and the payoff functions are continuously differentiable. W
Publicado em: 2010
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4. Immersions of manifolds
This paper outlines a proof of the conjecture that every compact, differentiable, n-dimensional manifold immerses in Euclidean space of dimension 2n - α(n), where α(n) is the number of ones in the dyadic expansion of n.
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5. On complexifications of real manifolds
This paper studies the problem of obtaining complexifications of a differentiable manifold which have desirable analytic or algebraic properties and which are minimal in the sense described below. It is seen that there is a significant difference between analytic and algebraic complexifications.
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6. Fixed points of periodic maps
Let f be a periodic differentiable map from a sphere to itself. A well-known conjecture of Smith asserts that in many cases (e.g., when the fixed points are isolated) the derivatives of f at its fixed points, regarded as Jacobian matrices, are linearly similar. Here we give counterexamples to this conjecture. The results show that, in many cases, these Jacob
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7. F-Deformations and F-Tractions
Let Mn be a compact, connected topological manifold and F a continuous mapping of Mn into R that is “topologically nondegenerate” in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set Fc = {p∈Mn|F(p) ≤ c}. The topological critical points of F on Fc are finite in number and can be related to the invariants of