Four-dimensional algebraic solitons associated to geometric flows

被引：0

作者：

Ferreiro-Subrido, M. ^{[1
]}

Garcia-Rio, E. ^{[1
]}

Vazquez-Lorenzo, R. ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Math, CITMAga, Santiago De Compostela 15782, Spain

[2] IES Ribadeo Dionisio Gamallo, Ribadeo 27700, Spain

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2025年 / 64卷 / 02期

关键词：

GRADIENT FLOW; RICCI;

D O I：

10.1007/s00526-024-02906-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine all the algebraic solitons for the geometric flows associated to the gradients of quadratic curvature functionals in dimension four.

引用

页数：45

共 50 条

[1] On Four-Dimensional Gradient Shrinking Solitons
Ni, Lei
Wallach, Nolan
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[2] On the classification of four-dimensional gradient Ricci solitons
Yang, Fei
Zhang, Liangdi
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 84
[3] A note on four-dimensional gradient Yamabe solitons
Leandro, Benedito
Poveda, Jeferson
INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (03)
[4] Four-Dimensional Pseudo-Riemannian Generalized Symmetric Spaces Which are Algebraic Ricci Solitons
W. Batat
K. Onda
Results in Mathematics, 2013, 64 : 253 - 267
[5] Four-Dimensional Pseudo-Riemannian Generalized Symmetric Spaces Which are Algebraic Ricci Solitons
Batat, W.
Onda, K.
RESULTS IN MATHEMATICS, 2013, 64 (3-4) : 253 - 267
[6] Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity
Bamler, Richard H.
Chow, Bennett
Deng, Yuxing
Ma, Zilu
Zhang, Yongjia
ADVANCES IN MATHEMATICS, 2022, 401
[7] FOUR-DIMENSIONAL GRADIENT SHRINKING SOLITONS WITH PINCHED CURVATURE
Zhang, Zhu-Hong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (07) : 3049 - 3056
[8] Ricci solitons on four-dimensional Lorentzian Lie groups
M. Ferreiro-Subrido
E. García-Río
R. Vázquez-Lorenzo
Analysis and Mathematical Physics, 2022, 12
[9] Four-dimensional photonic lattices and discrete tesseract solitons
Jukic, D.
Buljan, H.
PHYSICAL REVIEW A, 2013, 87 (01)
[10] A gap theorem of four-dimensional gradient shrinking solitons
Zhang, Zhuhong
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2020, 28 (03) : 729 - 742

← 1 2 3 4 5 →