An obstruction to the smoothability of singular nonpositively curved metrics on 4-manifolds by patterns of incompressible tori

被引：0

作者：

Stephan Stadler

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来源：

Geometric and Functional Analysis | 2015年 / 25卷

关键词：

Convex Subset; Nonpositive Curvature; Nonpositive Sectional Curvature; Simple Closed Geodesic; Geometric Action;

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学科分类号：

摘要：

We give new examples of closed smooth 4-manifolds which support singular metrics of nonpositive curvature, but no smooth ones, thereby answering affirmatively a question of Gromov. The obstruction comes from patterns of incompressible 2-tori sufficiently complicated to force branching of geodesics for nonpositively curved metrics.

引用

页码：1575 / 1587

页数：12

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