Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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OBSTRUCTION FOR THE EXISTENCE OF A PARALLEL VOLUME FORM

  • Received : 2010.09.08
  • Published : 2011.11.30
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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

Acknowledgement

Supported by : Korea Research Foundation(KRF)

References

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