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June 1997 CERTAIN METRICS ON A PRINCIPAL FIBER BUNDLE AND VARIATIONAL PROBLEMS
Kazuyuki Hasegawa
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SUT J. Math. 33(2): 239-255 (June 1997). DOI: 10.55937/sut/1262184343

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.

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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

Information

Received: 28 October 1997; Published: June 1997
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1262184343

Subjects:
Primary: 58E30
Secondary: 53C05

Keywords: Brans-Dicke type wave equation , Einstein field equation , variational problem , Yang-Mills equation

Rights: Copyright © 1997 Tokyo University of Science

Vol.33 • No. 2 • June 1997
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