Kahler Manifolds
Mostrando 1-8 de 8 artigos, teses e dissertações.
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1. Fundamentos da geometria complexa: aspectos geométricos, topológicos e analiticos. / Foundations of Complex Geometry: geometric, topological and analytic aspects.
The main goal of this work is to present a detailed study of the foundations of Complex Geometry, highlighting its geometric, topological and analytical aspects. Beginning with a preliminary material, such as the basic results on holomorphic functions in one or more variables and the definition and first examples of a complex manifold, we move on to an intro
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 03/05/2012
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2. The stability theorem of Lichnerowicz for holomorphic applications in Kahler manifolds / O teorema de estabilidade de Lichnerowicz para aplicaÃÃes holomorfas em variedades Kahler
Our goal in this work is to present a theorem due to A. Lichnerowicz, which guarantees stability from applications holomorphic or antiholomorphic with compact domain between Kahler manifolds.
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 07/07/2010
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3. Metricas de Einstein em variedades bandeira / Einstein metrics on flag manifolds
The goal of this work is to contribute the study of invariant Hermitian geometry on flag manifolds. We study the class of Einstein metrics on flag manifolds. In this work we present new solutions for the invariant Einstein equation on flag manifolds, maximals or not, of Ai case. Let W a subgroup of the Weyl group. We described a natural action of W on the so
Publicado em: 2005
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4. Aplicações harmonicas, estruturas-f, toros e superficies de Riemann nas variedades homogeneas
In this work we study the geometry of invariant f-structures and f-holomorphic curves on flag manifolds, and the construction of the equiharmonic tori on full complex flag manifolds which are not f-holomophic for any invariant f-estructure. Moreover we relate the tournament theory with the almost-complex on a flag manifolds. We compute the second variation o
Publicado em: 2002
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5. 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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6. On the structure of complete simply-connected Kähler manifolds with nonpositive curvature
We prove that a complete simply-connected Kähler manifold with nonpositive sectional curvature is biholomorphic to the complex Euclidean space if the curvature is suitably small at infinity.
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7. Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
To study C0a priori estimates for solutions to certain complex Monge—Ampère equations, I introduce a coherent sheaf of ideals and show that it satisfies various global algebrogeometric conditions, including a cohomology vanishing theorem. This technique is used to establish the existence of Kähler-Einstein metrics of positive scalar curvature on a very l
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8. Metric rigidity theorems on Hermitian locally symmetric spaces
Let X = Ω/Γ be a compact quotient of an irreducible bounded symmetric domain Ω of rank ≥2 by a discrete group ω of automorphisms without fixed points. It is well known that the Kähler-Einstein metric g on X carries seminegative curvature (in the sense of Griffiths). I show that any Hermitian metric h on X carrying seminegative curvature must be a cons