Kyungpook Mathematical Journal

  • 제58권2호
  • /
  • Pages.389-398
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  • 2018
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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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From the Eisenhart Problem to Ricci Solitons in Quaternion Space Forms

  • 투고 : 2016.06.19
  • 심사 : 2018.04.25
  • 발행 : 2018.06.23
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초록

In this paper we obtain the condition for the existence of Ricci solitons in nonflat quaternion space form by using Eisenhart problem. Also it is proved that if (g, V, ${\lambda}$) is Ricci soliton then V is solenoidal if and only if it is shrinking, steady and expanding depending upon the sign of scalar curvature. Further it is shown that Ricci soliton in semi-symmetric quaternion space form depends on quaternion sectional curvature c if V is solenoidal.

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참고문헌

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