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arXiv · 2205.09544

On harmonic and biharmonic maps from gradient Ricci solitons

Volker Branding
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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.

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Volker Branding. 2022-05-19. On harmonic and biharmonic maps from gradient Ricci solitons. https://doi.org/10.1002/mana.202200232

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