Obstruction for the existence of a parallel volume form
Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1329-1339
https://doi.org/10.4134/BKMS.2011.48.6.1329
Published online November 1, 2011
Hee-Kyung Cho, Daeyong Kim, and Hyuk Kim
Seoul National University, Seoul National University
Abstract : For a manifold with a linear connection, we find an obstruction class to have a volume form parallel with respect to its connection which corresponds to the Chern-Simons secondary invariant in the frame bundle of the manifold.
Keywords : parallel volume form, parallel volume obstruction class
MSC numbers : 53B05, 53C05
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