Kyungpook Mathematical Journal

  • 제63권4호
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  • Pages.623-638
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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The Geometry of 𝛿-Ricci-Yamabe Almost Solitons on Paracontact Metric Manifolds

  • 투고 : 2023.02.15
  • 심사 : 2023.06.27
  • 발행 : 2023.12.31
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초록

In this article we study a 𝛿-Ricci-Yamabe almost soliton within the framework of paracontact metric manifolds. In particular we study 𝛿-Ricci-Yamabe almost soliton and gradient 𝛿-Ricci-Yamabe almost soliton on K-paracontact and para-Sasakian manifolds. We prove that if a K-paracontact metric g represents a 𝛿-Ricci-Yamabe almost soliton with the non-zero potential vector field V parallel to 𝜉, then g is Einstein with Einstein constant -2n. We also show that there are no para-Sasakian manifolds that admit a gradient 𝛿-Ricci-Yamabe almost soliton. We demonstrate a 𝛿-Ricci-Yamabe almost soliton on a (𝜅, 𝜇)-paracontact manifold.

키워드

과제정보

The work of first author is supported by UGC Senior Research Fellowship of India, Ref No: 1157/(SC)(CSIR-UGC NET DEC. 2016) and the work of third author is supported by grant Proj. No. NRF-2018-R1D1A1B-05040381 from National Research Foundation of Korea.

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