Korean Journal of Mathematics

  • 제29권3호
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  • Pages.547-554
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  • 2021
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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SASAKIAN 3-MANIFOLDS ADMITTING A GRADIENT RICCI-YAMABE SOLITON

  • Dey, Dibakar (Department of Pure Mathematics, University of Calcutta)
  • 투고 : 2020.12.15
  • 심사 : 2021.08.25
  • 발행 : 2021.09.30
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초록

The object of the present paper is to characterize Sasakian 3-manifolds admitting a gradient Ricci-Yamabe soliton. It is shown that a Sasakian 3-manifold M with constant scalar curvature admitting a proper gradient Ricci-Yamabe soliton is Einstein and locally isometric to a unit sphere. Also, the potential vector field is an infinitesimal automorphism of the contact metric structure. In addition, if M is complete, then it is compact.

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참고문헌

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