PreprintCC0arXiv
Complete steady and shrinking gradient Yamabe solitons
Abstract
In this paper, we show that complete steady gradient Yamabe solitons are either rotationally symmetric manifolds or scalar-flat manifolds. We also classify nontrivial complete shrinking gradient Yamabe solitons.
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BibTeX
@misc{maeta2026complete,
title = {{Complete steady and shrinking gradient Yamabe solitons}},
author = {Shun Maeta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21078},
eprint = {2610.21078},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21078},
note = {CC0},
}
RIS
TY - UNPB
TI - Complete steady and shrinking gradient Yamabe solitons
AU - Shun Maeta
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.21078
UR - https://arxiv.org/abs/2610.21078
AB - In this paper, we show that complete steady gradient Yamabe solitons are either rotationally symmetric manifolds or scalar-flat manifolds. We also classify nontrivial complete shrinking gradient Yamabe solitons.
ER -