On harmonic and biharmonic maps from gradient Ricci solitons

Volker Branding

Mathematische Nachrichten, 2023, vol. 296, issue 11, 5109-5122

Abstract: We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.

Date: 2023
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https://doi.org/10.1002/mana.202200232

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