Equivariant Geometry
Mostrando 1-6 de 6 artigos, teses e dissertações.
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1. Hipersuperfícies mínimas e completas de espaços simétricos / Complete minimal hipersurfaces in symmetric spaces
No presente trabalho construímos novos exemplos de hipersuperfícies mínimas, completas e H-equivariantes de espaços simétricos. Para tal, usamos o método da geometria diferencial equivariante (Hsiang-Lawson). Dividimos nosso estudo em duas partes, a saber, espaços simétricos G/K de tipo não compacto e compacto. No primeiro caso são estudadas açõe
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 02/07/2012
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2. MINIMAL AND CONSTANT MEAN CURVATURE EQUIVARIANT HYPERSURFACES IN S(N) AND H(N) / HIPERSUPERFÍCIES EQUIVARIANTES MÍNIMAS E COM CURVATURA MÉDIA CONSTANTE EM S(N) E H(N)
In this work we study equivariant hypersurfaces in S(n) and H(n) which are minimal or have constant mean curvature. These hypersurfaces are described via a curve in S(2) and H(2) respectively, called the generating curve. In the equivariant case, the constant mean curvature equation reduces to an ODE on the generating curve, which can be reduced by one varia
Publicado em: 2007
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3. O(p + 1) x O(p + 1)-Invariant hypersurfaces with zero scalar curvature in euclidean space
We use equivariant geometry methods to study and classify zero scalar curvature O(p + 1) x O(p + 1)-invariant hypersurfaces in R2p+2 with p > 1.
Anais da Academia Brasileira de Ciências. Publicado em: 2000-06
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4. On the construction of nonequatorial minimal hyperspheres in Sn(1) with stable cones in Rn+1
Within the framework of equivariant differential geometry, we outline the construction of some imbedded minimal hyperspheres of Sn(1) and show that many of them have a stable cone in Rn+1. The statement of these and related results are given.
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5. Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space
Mean curvature is one of the simplest and most basic of local differential geometric invariants. Therefore, closed hypersurfaces of constant mean curvature in euclidean spaces of high dimension are basic objects of fundamental importance in global differential geometry. Before the examples of this paper, the only known example was the obvious one of the roun
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6. Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex.
This paper is concerned with a striking visual experience: that of seeing geometric visual hallucinations. Hallucinatory images were classified by Klüver into four groups called form constants comprising (i) gratings, lattices, fretworks, filigrees, honeycombs and chequer-boards, (ii) cobwebs, (iii) tunnels, funnels, alleys, cones and vessels, and (iv) spir