A note on almost Ricci solitons

被引:0
|
作者
Sharief Deshmukh
Hana Al-Sodais
机构
[1] King Saud University,Department of Mathematics, College of Science
来源
关键词
Almost Ricci soliton; Ricci soliton; Trivial Ricci soliton; 53C25; 35C44; 53C21;
D O I
暂无
中图分类号
学科分类号
摘要
We find several sufficient conditions on a compact almost Ricci soliton under which it is a trivial Ricci soliton. We also find a sufficient condition under which a compact almost Ricci soliton is isometric to a sphere.
引用
收藏
相关论文
共 50 条
  • [1] A note on almost Ricci solitons
    Deshmukh, Sharief
    Al-Sodais, Hana
    ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (04)
  • [2] A NOTE ON STATIC MANIFOLDS AND ALMOST RICCI SOLITONS
    Ahmadzadeh, Reihaneh
    Ghahremani-Gol, Hajar
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (02): : 631 - 634
  • [3] Ricci almost solitons
    Pigola, Stefano
    Rigoli, Marco
    Rimoldi, Michele
    Setti, Alberto G.
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2011, 10 (04) : 757 - 799
  • [4] Ricci Almost Solitons And Gradient Ricci Almost Solitons In (k, μ)-Paracontact Geometry
    De, U. C.
    Mandal, krishanu
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (03): : 119 - 130
  • [5] *-RICCI SOLITONS AND GRADIENT ALMOST *-RICCI SOLITONS ON KENMOTSU MANIFOLDS
    Venkatesha
    Naik, Devaraja Mallesha
    Kumara, H. Aruna
    MATHEMATICA SLOVACA, 2019, 69 (06) : 1447 - 1458
  • [6] Back to Almost Ricci Solitons
    Rovenski, Vladimir
    Stepanov, Sergey
    Tsyganok, Irina
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2023, 16 (01): : 208 - 214
  • [7] HOMOGENEOUS RICCI ALMOST SOLITONS
    Calvino-Louzao, Esteban
    Fernandez-Lopez, Manuel
    Garcia-Rio, Eduardo
    Vazquez-Lorenzo, Ramon
    ISRAEL JOURNAL OF MATHEMATICS, 2017, 220 (02) : 531 - 546
  • [8] Homogeneous Ricci almost solitons
    Esteban Calviño-Louzao
    Manuel Fernández-López
    Eduardo García-Río
    Ramón Vázquez-Lorenzo
    Israel Journal of Mathematics, 2017, 220 : 531 - 546
  • [9] A note on Ricci solitons
    Deshmukh, Sharief
    Alodan, Haila
    Al-Sodais, Hana
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2011, 16 (01): : 48 - 55
  • [10] A note on Ricci solitons
    Stepanov, Sergey E.
    Shelepova, V. N.
    MATHEMATICAL NOTES, 2009, 86 (3-4) : 447 - 450