대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제59권1호
  • /
  • Pages.101-110
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  • 2022
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SASAKIAN 3-METRIC AS A *-CONFORMAL RICCI SOLITON REPRESENTS A BERGER SPHERE

  • Dey, Dibakar (Department of Pure Mathematics University of Calcutta)
  • 투고 : 2021.02.10
  • 심사 : 2021.05.26
  • 발행 : 2022.01.31
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초록

In this article, the notion of *-conformal Ricci soliton is defined as a self similar solution of the *-conformal Ricci flow. A Sasakian 3-metric satisfying the *-conformal Ricci soliton is completely classified under certain conditions on the soliton vector field. We establish a relation with Fano manifolds and proves a homothety between the Sasakian 3-metric and the Berger Sphere. Also, the potential vector field V is a harmonic infinitesimal automorphism of the contact metric structure.

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과제정보

The author is thankful to the anonymous reviewer for his/her valuable suggestions that have improved the article. The author is thankful to the Council of Scientific and Industrial Research, India (File No. 09/028(1010)/2017-EMR-1) for their assistance in the form of Senior Research Fellowship.

참고문헌

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