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Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil 4

Author

Listed:
  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

  • Ahmed Mohammed Cherif

    (Department of Mathematics, University Mustapha Stambouli, Mascara 29000, Algeria)

  • Yuquan Xie

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

Abstract

This study considers a left-invariant Riemannian metric g on the Lie group N i l 4 . We introduce a Ricci solitons’ classification on ( N i l 4 , g ) . These are expansive non-gradient Ricci solitons. We examine the existence of harmonic maps into ( N i l 4 , g ) from a compact Riemannian manifold. Additionally, we provide a characterization of a class of harmonic vector fields on ( N i l 4 , g ) .

Suggested Citation

  • Yanlin Li & Ahmed Mohammed Cherif & Yuquan Xie, 2025. "Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil 4," Mathematics, MDPI, vol. 13(7), pages 1-8, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1155-:d:1625137
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