On harmonic and biharmonic maps from gradient Ricci solitons
Differential Geometry
2024-07-16 v2
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.
Cite
@article{arxiv.2205.09544,
title = {On harmonic and biharmonic maps from gradient Ricci solitons},
author = {Volker Branding},
journal= {arXiv preprint arXiv:2205.09544},
year = {2024}
}