Rigidity and Infinitesimal Deformability of Ricci Solitons

被引：0
作者：
Klaus Kröncke
机构：
[1] Universität Regensburg,Fakultät für Mathematik
[2] Universität Potsdam,Institut für Mathematik
来源：
The Journal of Geometric Analysis | 2016年 / 26卷
关键词：
Ricci solitons; Moduli space; Linearized equation ; Integrability; 53C25; 53C21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an obstruction against the integrability of certain infinitesimal solitonic deformations is given. Using this obstruction, we show that the complex projective spaces of even complex dimension are rigid as Ricci solitons although they have infinitesimal solitonic deformations.
引用
收藏
页码：1795 / 1807
页数：12
相关论文
共 50 条
[21]   Ricci solitons on general relativistic spacetimes [J].
Suh, Young Jin ;
Chaubey, Sudhakar Kumar .
PHYSICA SCRIPTA, 2023, 98 (06)
[22]   Integral pinched shrinking Ricci solitons [J].
Catino, Giovanni .
ADVANCES IN MATHEMATICS, 2016, 303 :279-294
[23]   Weyl Scalars on Compact Ricci Solitons [J].
Catino, G. ;
Mastrolia, P. .
JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (04) :3328-3344
[24]   Weyl Scalars on Compact Ricci Solitons [J].
G. Catino ;
P. Mastrolia .
The Journal of Geometric Analysis, 2019, 29 :3328-3344
[25]   NEW EXAMPLES OF COMPLETE RICCI SOLITONS [J].
IVEY, T .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) :241-245
[26]   ON THE LINEAR STABILITY OF KAHLER-RICCI SOLITONS [J].
Hall, Stuart J. ;
Murphy, Thomas .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (09) :3327-3337
[27]   Gradient Ricci solitons with vanishing conditions on Weyl [J].
Catino, G. ;
Mastrolia, P. ;
Monticelli, D. D. .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2017, 108 (01) :1-13
[28]   ☆-CONFORMAL RICCI SOLITONS ON ALMOST COKAHLER MANIFOLDS [J].
Mandal, Tarak ;
Sarkar, Avijit .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03) :865-880
[29]   Classification of superpotentials for cohomogeneity one Ricci solitons [J].
Wang, Qiu Shi .
JOURNAL OF GEOMETRY AND PHYSICS, 2024, 206
[30]   Ricci solitons and odd-dimensional spheres [J].
Cho, Jong Taek .
MONATSHEFTE FUR MATHEMATIK, 2010, 160 (04) :347-357
12345