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April 2019 Biharmonic Maps on Principal G-Bundles over Complete Riemannian Manifolds of Nonpositive Ricci Curvature
Hajime Urakawa
Michigan Math. J. 68(1): 19-31 (April 2019). DOI: 10.1307/mmj/1547089468

Abstract

We show that, for every principal G-bundle over a complete Riemannian manifold of nonpositive Ricci curvature, if the projection of the G-bundle is biharmonic, then it is harmonic.

Citation

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Hajime Urakawa. "Biharmonic Maps on Principal G-Bundles over Complete Riemannian Manifolds of Nonpositive Ricci Curvature." Michigan Math. J. 68 (1) 19 - 31, April 2019. https://doi.org/10.1307/mmj/1547089468

Information

Received: 26 September 2016; Revised: 7 September 2017; Published: April 2019
First available in Project Euclid: 10 January 2019

zbMATH: 07155456
MathSciNet: MR3934602
Digital Object Identifier: 10.1307/mmj/1547089468

Subjects:
Primary: 58E20
Secondary: 53C43

Rights: Copyright © 2019 The University of Michigan

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Vol.68 • No. 1 • April 2019
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