Variation of complex structures and the stability of K\"ahler-Ricci Solitons
Stuart James Hall, Thomas Murphy
TL;DR
This paper studies how the stability of K"ahler-Ricci solitons is affected by changes in complex structures within a fixed K"ahler class, providing stability calculations for known examples.
Contribution
It analyzes the linear stability of K"ahler-Ricci solitons under complex structure variations and computes stability for known cases.
Findings
Stability depends on complex structure variations.
Explicit stability calculations for known K"ahler-Ricci solitons.
Insights into the geometric stability of these solitons.
Abstract
We investigate the linear stability of K\"ahler-Ricci solitons for perturbations induced by varying the complex structure within a fixed K\"ahler class. We calculate stability for the known examples of K\"ahler-Ricci solitons.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.