Rigidity of nonpositively curved graphmanifolds

1986 ◽  
Vol 274 (1) ◽  
pp. 19-26 ◽  
Author(s):  
Viktor Schroeder
Keyword(s):  
Nonpositively Curved

scholarly journals Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

2016 ◽  
Vol 9 (3) ◽  
pp. 934-956
Author(s):  
Mauricio Bustamante ◽  
F. Thomas Farrell ◽  
Yi Jiang
Keyword(s):  
Characteristic Classes ◽  
Nonpositively Curved

Approximating Flats by Periodic Flats in CAT(0) Square Complexes

2005 ◽  
Vol 57 (2) ◽  
pp. 416-448 ◽  
Author(s):  
Daniel T. Wise
Keyword(s):  
Approximation Problem ◽  
Fundamental Groups ◽  
Branched Cover ◽  
Nonpositively Curved ◽  
Subgroup Separability ◽  
Square Complex

AbstractWe investigate the problem of whether every immersed flat plane in a nonpositively curved square complex is the limit of periodic flat planes. Using a branched cover, we reduce the problem to the case of VH-complexes. We solve the problem for malnormal and cyclonormal VH-complexes. We also solve the problem for complete square complexes using a different approach. We give an application towards deciding whether the elements of fundamental groups of the spaces we study have commuting powers. We note a connection between the flat approximation problem and subgroup separability.

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