Biharmonic Maps on Principal G-Bundles over Complete Riemannian Manifolds of Nonpositive Ricci Curvature

Hajime Urakawa

doi:10.1307/mmj/1547089468

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Home > Journals > Michigan Math. J. > Volume 68 > Issue 1 > Article

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

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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.

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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

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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

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Michigan Math. J.

Vol.68 • No. 1 • April 2019

University of Michigan, Department of Mathematics

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Hajime Urakawa "Biharmonic Maps on Principal

G

-Bundles over Complete Riemannian Manifolds of Nonpositive Ricci Curvature," Michigan Mathematical Journal, Michigan Math. J. 68(1), 19-31, (April 2019)

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