Exponentially harmonic maps of complete Riemannian manifolds

  • Toshiaki OmoriEmail author


We note the existence of exponentially harmonic maps from complete Riemannian manifolds into arbitrary compact Riemannian manifolds. We also investigate the constancy of exponentially harmonic maps with finite exponential energy under some curvature assumptions.

Mathematics Subject Classification

Primary 53C43 58E20 


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The author would like to thank the referee for her or his careful reading of the manuscript and many helpful suggestions. he is partially supported by Grant-in-Aid for Young Scientists (B) (KAKENHI No. 15K17546) and also by Grant-in-Aid for Scientific Research on Innovative Areas (KAKENHI No. 17H06466) both from JSPS. This work is also supported by JST CREST Grant Number JPMJCR17J4.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and TechnologyTokyo University of ScienceNodaJapan

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