Abstract
We define a functional constructed from the scalar curvature of a certain metric on a principal fiber bundle and obtain some equations which correspond to the Einstein field equation, the Yang-Mills equation and the Brans-Dicke type wave equation by variations of this functional.
Citation
Kazuyuki Hasegawa. "CERTAIN METRICS ON A PRINCIPAL FIBER BUNDLE AND VARIATIONAL PROBLEMS." SUT J. Math. 33 (2) 239 - 255, June 1997. https://doi.org/10.55937/sut/1262184343
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