摘要翻译:
我们计算了阻止闭K\\“Ahler流形携带全纯Cartan几何的特征类上的关系,并利用这些关系给出了复解析定和欠定微分方程组相空间的全局约束。
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英文标题:
《Characteristic forms of complex Cartan geometries》
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作者:
Benjamin McKay (University College Cork)
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Differential Geometry 微分几何
分类描述:Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形,接触,黎曼,伪黎曼和Finsler几何,相对论,规范理论,整体分析
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We calculate relations on characteristic classes which are obstructions preventing closed K\"ahler manifolds from carrying holomorphic Cartan geometries. We apply these relations to give global constraints on the phase spaces of complex analytic determined and underdetermined systems of differential equations.
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PDF链接:
https://arxiv.org/pdf/0704.2555


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