K\"ahler-Ricci solitons on some wonderful group compactifications
Fran\c{c}ois Delgove
TL;DR
This paper proves the existence of Kähler-Ricci solitons on certain wonderful group compactifications, extending previous results from toric manifolds using the continuity method.
Contribution
It generalizes the existence of Kähler-Ricci solitons from toric manifolds to some wonderful group compactifications.
Findings
Existence of Kähler-Ricci solitons on selected wonderful group compactifications
Extension of previous toric manifold results to a broader class of manifolds
Application of the continuity method in this new context
Abstract
In this paper, we extend the result about the existence of K\"ahler-Ricci soliton on toric manifold (proved by Wang and Zhy) by proving this existence on some wonderful group compactifications using the continuity method.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Aldose Reductase and Taurine