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  5. Topology and geometry of three-dimensional Alexandrov spaces

Topology and geometry of three-dimensional Alexandrov spaces

来源 :2017几何分析和概率研讨会 | 被引量 : 0次 | 上传用户：zr_ran
【摘 要】
：
　　Alexandrov spaces are metric generalization of complete Riemannian manifolds with a lower sectional curvature bound.They appear,for example,as(Gromov-Hausdo
【作 者】
：
Fernando Galaz-García 
【机 构】
：
KarlsruherInstitutfürTechnologie
【出 处】
：
2017几何分析和概率研讨会
【发表日期】
：
2017年10期
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论文部分内容阅读
　　Alexandrov spaces are metric generalization of complete Riemannian manifolds with a lower sectional curvature bound.They appear,for example,as(Gromov-Hausdorff)limits of complete Riemannian manifolds with a uniform lower sectional curvature bound.In this talk I will discuss the topology and geometry of these spaces in dimension three,with a view towards open problems and possible research directions.
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