Chern Classes
Mostrando 1-4 de 4 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. Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry
We define some new global invariants of a fiber bundle with a connection. They are cohomology classes in the principal fiber bundle that are defined when certain characteristic curvature forms vanish. In the case of the principal tangent bundle of a riemannian manifold, they are invariant under a conformal transformation of the metric. They give necessary co
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3. Characteristic Classes and Weyl Tensor: Applications to General Relativity*
In a recent paper, Chern and Simons proved that the Pontrjagin forms of a Riemannian manifold remain invariant under a conformal deformation. We show that these forms can be expressed uniquely in terms of the conformal curvature tensor: this provides a new proof of their result. Similar techniques can be applied to Euler-Poincare characteristic class, as sug
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4. The structure of a class of finite ramified coverings and canonical forms of analytic matrix-functions in a neighborhood of a ramified turning point
Let X be the germ of a complex- or real-analytic manifold M at a point xo ∈ M, or the henselian germ of an algebraic manifold M over a field k of characteristic zero at a point xo ∈ M(k), D ⊂ X a divisor. Under some assumptions on D and its singularities we give a description of the structure, the singularities, and the divisor class group of all finit
The National Academy of Sciences.