Compact Manifold With Boundary
Mostrando 1-4 de 4 artigos, teses e dissertações.
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1. A rigidez da curvatura de Ricci do hemisfério Sⁿ+ / Rici curvature rigidity of the hemisphere Sⁿ+
Nesta dissertação apresentamos a demonstração de um teorema obtido por F. Hang e X. Wang, o qual estabelece que uma variedade (Mn,g) Riemanniana compacta com bordo não-vazio, curvatura de Ricci maior ou igual a (n-1)g, e com bordo isométrico à esfera (n-1)-dimensional e segunda forma fundamental não-negativa, é isométrica ao hemisfério . Este arti
Publicado em: 2009
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2. Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains
A strictly plurisubharmonic exhaustion function with negative values is constructed for arbitrary relatively compact pseudoconvex domains with smooth boundary in a Stein manifold. It is applied to verify the Serre conjecture in a special case. A sufficient condition is given that guarantees the existence of a neighborhood-basis of Stein domains for certain b
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3. Analytic torsion and Reidemeister torsion
We announce a proof of the conjecture of Ray and Singer that for a compact Riemannian manifold the analytic torsion and Reidemeister torsion are equal. The proof involves studying the heat equation for certain manifolds M, equipped with metrics gu, 0 < u < 1 which degenerate in a prescribed way at the boundary δM, as u → 0,1.
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4. FLOWS WITH CROSS SECTIONS
Let M be a compact connected C∞-manifold, of dimension n, without boundary. Let ft: M → M be a Cr-flow with cross section. Let Dr(M) be the topological group of diffeomorphisms of M with Cr-topology (1 ≤ r ≤ ∞) and let Dor(M) be its connected component of the identity. Let [unk](M) be the group of I-cobordism classes in Dr(M) generated by orientati