# K\"ahler-Ricci solitons on some wonderful group compactifications

**Authors:** Fran\c{c}ois Delgove

arXiv: 1706.08285 · 2019-02-18

## 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.

## Key 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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Source: https://tomesphere.com/paper/1706.08285