Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON GRADIENT RICCI SOLITONS AND YAMABE SOLITONS

  • Choi, Jin Hyuk (Humanitas College Kyung Hee University) ;
  • Kim, Byung Hak (Department of Applied Mathematics and Institute of Natural Science Kyung Hee University) ;
  • Lee, Sang Deok (Department of Mathematics Dankook University)
  • Received : 2019.12.31
  • Accepted : 2020.03.13
  • Published : 2020.05.15
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Abstract

In this paper, we consider gradient Ricci solitons and gradient Yamabe solitons in the warped product spaces. Also we study warped product space with harmonic curvature related to gradient Ricci solitons and gradient Yamabe solitons. Consequently some theorems are generalized and we derive differential equations for a warped product space to be a gradient Ricci soliton.

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References

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