Nagoya Mathematical Journal

On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps

Toshiaki Omori

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In this note, we introduce an approximation of harmonic maps via a sequence of exponentially harmonic maps. We then reestablish the existence theorem of harmonic maps due to Eells and Sampson.

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Nagoya Math. J., Volume 201 (2011), 133-146.

First available in Project Euclid: 11 February 2011

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Primary: 53C43: Differential geometric aspects of harmonic maps [See also 58E20] 58J05: Elliptic equations on manifolds, general theory [See also 35-XX]


Omori, Toshiaki. On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps. Nagoya Math. J. 201 (2011), 133--146. doi:10.1215/00277630-2010-019.

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