PreprintCC BY 4.0arXiv
Linear Stability of Steady and Expanding Kähler-Ricci Solitons
Abstract
We prove linear stability of all steady and expanding gradient Kähler-Ricci solitons. In the expanding case, we prove strict linear stability under very general assumptions. In particular, every asymptotically conical expanding gradient Kähler-Ricci soliton is strictly linearly stable.
Related
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- Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein
- Shrinking Kähler-Ricci solitons on toric fano fibrations
- Complete steady and shrinking gradient Yamabe solitons
- O(3)-symmetry of four-dimensional steady Ricci solitons
BibTeX
@misc{lavoyer2026linear,
title = {{Linear Stability of Steady and Expanding Kähler-Ricci Solitons}},
author = {Lucas Lavoyer and Adam Thompson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21472},
eprint = {2609.21472},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21472},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Linear Stability of Steady and Expanding Kähler-Ricci Solitons
AU - Lucas Lavoyer
AU - Adam Thompson
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21472
UR - https://arxiv.org/abs/2609.21472
AB - We prove linear stability of all steady and expanding gradient Kähler-Ricci solitons. In the expanding case, we prove strict linear stability under very general assumptions. In particular, every asymptotically conical expanding gradient Kähler-Ricci soliton is strictly linearly stable.
ER -