THE RICCI-BOURGUIGNON FLOW

被引：107

作者：

Catino, Giovanni ^{[1
]}

Cremaschi, Laura ^{[2
]}

Djadli, Zindine ^{[3
,4
]}

Mantegazza, Carlo ^{[5
]}

Mazzieri, Lorenzo ^{[6
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy

[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

[3] Univ Grenoble, Inst Fourier, 100 Rue Maths, F-38402 St Martin Dheres, France

[4] Lab Fibonacci, Piazza Cavalieri 7, I-56126 Pisa, Italy

[5] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia Monte S Angelo, I-80126 Naples, Italy

[6] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, TN, Italy

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2017年 / 287卷 / 02期

关键词：

Ricci flow; Ricci-Bourguignon flow; short time existence; YAMABE FLOW; CURVATURE; 3-MANIFOLDS; CONVERGENCE; MANIFOLDS; SOLITONS; METRICS;

D O I：

10.2140/pjm.2017.287.337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some results on a family of geometric flows introduced by J. P. Bourguignon in 1981 that generalize the Ricci flow. For suitable values of the scalar parameter involved in these flows, we prove short time existence and provide curvature estimates. We also state some results on the associated solitons.

引用

页码：337 / 370

页数：34

共 50 条

[1] On the Ricci-Bourguignon flow
Ho, Pak Tung
INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (06)
[2] Hyperbolic Ricci-Bourguignon flow
Azami, Shahroud
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (02): : 399 - 409
[3] Generalized Ricci-Bourguignon flow
Azami, Shahroud
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2024, 16 (02) : 638 - 662
[4] Ricci-Bourguignon Flow on Manifolds with Boundary
Hongbing QIU
Anqiang ZHU
Chinese Annals of Mathematics,Series B, 2021, (06) : 953 - 968
[5] Ricci-Bourguignon Flow on Manifolds with Boundary
Qiu, Hongbing
Zhu, Anqiang
CHINESE ANNALS OF MATHEMATICS SERIES B, 2021, 42 (06) : 953 - 968
[6] Noncollapsing estimate for the Ricci-Bourguignon flow
Shen, Ying
Wang, Lin Feng
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 69
[7] Ricci-Bourguignon Flow on Manifolds with Boundary
Hongbing Qiu
Anqiang Zhu
Chinese Annals of Mathematics, Series B, 2021, 42 : 953 - 968
[8] Ricci-Bourguignon flow coupled with harmonic map flow
Azami, Shahroud
INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 30 (10)
[9] A note on the triviality of gradient solitons of the Ricci-Bourguignon flow
Cunha, Antonio W.
Silva, Antonio N., Jr.
De Lima, Eudes L.
De Lima, Henrique F.
ARCHIV DER MATHEMATIK, 2023, 120 (01) : 89 - 98
[10] Evolution of Yamabe constant along the Ricci-Bourguignon flow
Azami, Shahroud
Abolarinwa, Abimbola
ARABIAN JOURNAL OF MATHEMATICS, 2022, 11 (03) : 459 - 467

← 1 2 3 4 5 →