K\"ahler-Ricci solitons on horospherical variety
Fran\c{c}ois Delgove
TL;DR
This paper extends the existence results of K"ahler-Ricci solitons from toric manifolds to horospherical varieties, broadening the class of complex varieties where such solitons are known to exist.
Contribution
It proves the existence of K"ahler-Ricci solitons on horospherical varieties, generalizing previous results from toric manifolds using the continuity method.
Findings
Existence of K"ahler-Ricci solitons on horospherical varieties
Extension of previous results from toric to horospherical cases
Application of the continuity method to this class of varieties
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 horospherical varieties using the continuity method.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research