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On An Affine Connection Which Admits A Volume-Like Form

Published online by Cambridge University Press:  20 November 2018

D. P. Chi  and
Y. D. Yoon
D. P. Chi
Affiliation:
Department of Mathematics College of Natural Sciences Seoul National University Seoul 151-748 Korea
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Abstract

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A necessary and sufficient condition to obtain a volumelike form from an affine connection is given in terms of the Čech cohomology, after the volume-like form is naturally defined without a Riemannian metric. A necessary condition for an affine connection to be a Riemannian connection for some metric is also given.

Keywords

52C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 482 - 488
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Dubrovin, B. A., Fomenko, A. T., Novikov, S. P., Modem Geometry Part 1, Springer-Verlag, 1984.Google Scholar