Secondary Characteristic Classes of Lie Algebroids

2008 ◽  
pp. 157-176 ◽  
Author(s):  
M. Crainic ◽  
R.L. Fernandes
Keyword(s):  
Lie Algebroids ◽  
Characteristic Classes ◽  
Secondary Characteristic Classes ◽  
Secondary Characteristic

Chern–Simons forms for ℝ-linear connections on Lie algebroids

2018 ◽  
Vol 29 (13) ◽  
pp. 1850094
Author(s):  
Bogdan Balcerzak
Keyword(s):  
Chern Character ◽  
Lie Algebroids ◽  
Characteristic Classes ◽  
Linear Connections ◽  
Secondary Characteristic Classes ◽  
Chern Simons ◽  
Secondary Characteristic

This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character and secondary characteristic classes for [Formula: see text]-linear connections of Lie algebroids.

Secondary Characteristic Classes

1962 ◽  
Vol 76 (3) ◽  
pp. 510 ◽  
Author(s):  
Franklin P. Peterson ◽  
Norman Stein
Keyword(s):  
Characteristic Classes ◽  
Secondary Characteristic Classes ◽  
Secondary Characteristic
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