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

被引：0
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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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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.
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页码：1575 / 1587
页数：12
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