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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(3): 763-772

Online first article April 7, 2017      Printed May 1, 2017

https://doi.org/10.4134/JKMS.j160208

Copyright © The Korean Mathematical Society.

Liouville type theorems for transversally harmonic and biharmonic maps

Min Joo Jung and Seoung Dal Jung

Jeju National University, Jeju National University

Abstract

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In this paper, we study the Liouville type theorems for trans\-versally harmonic and biharmonic maps on foliated Riemannian manifolds.

Keywords: generalized maximum principle, transversally harmonic and biharmonic map, Liouville type theorem

MSC numbers: 53C12, 57R30

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