PreprintarXiv licencearXiv
O(3)-symmetry of four-dimensional steady Ricci solitons
Abstract
We prove that a complete connected four-dimensional gradient steady Ricci soliton with positive curvature operator that is κ-noncollapsed at all scales admits an effective isometric O(3) action preserving the potential function and having principal orbits diffeomorphic to S2.
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BibTeX
@misc{fang2026o3symmetry,
title = {{$O(3)$-symmetry of four-dimensional steady Ricci solitons}},
author = {Hanbing Fang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36563},
eprint = {2610.36563},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36563},
}
RIS
TY - UNPB
TI - O(3)-symmetry of four-dimensional steady Ricci solitons
AU - Hanbing Fang
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36563
UR - https://arxiv.org/abs/2610.36563
AB - We prove that a complete connected four-dimensional gradient steady Ricci soliton with positive curvature operator that is κ-noncollapsed at all scales admits an effective isometric O(3) action preserving the potential function and having principal orbits diffeomorphic to S^2.
ER -