On weaker notions for Kähler-Ricci solitons

被引：0
作者：
Pali, Nefton [1 ]
机构：
[1] Univ Paris Saclay, Orsay Inst Math, 307 Michel Magat, F-91400 Orsay, France
来源：
MANUSCRIPTA MATHEMATICA | 2024年 / 175卷 / 3-4期
关键词：
53C25; 53C55; 32J15; RICCI FLOW;
D O I：
10.1007/s00229-024-01577-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that shrinking K & auml;hler-Ricci solitons over a compact K & auml;hler manifold are gradient shrinking K & auml;hler-Ricci solitons. The proof relies on a remarkable identity on the kernels of a real and a complex elliptic operator proved in our solution of the variational stability problem for gradient shrinking K & auml;hler-Ricci solitons in Pali (Complex Manifolds 3(1):41-144, 2016).
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页码：753 / 769
页数：17
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