Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON A CLASSIFICATION OF WARPED PRODUCT SPACES WITH GRADIENT RICCI SOLITONS

  • Received : 2016.11.09
  • Accepted : 2016.12.07
  • Published : 2016.12.30
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Abstract

In this paper, we study Ricci solitons, gradient Ricci solitons in the warped product spaces and gradient Yamabe solitons in the Riemannian product spaces. We obtain the necessary and sufficient conditions for the Riemannian product spaces to be Ricci solitons. Moreover we classify the warped product space which admit gradient Ricci solitons under some conditions of the potential function.

Keywords

References

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  2. ON GRADIENT RICCI SOLITONS AND YAMABE SOLITONS vol.33, pp.2, 2016, https://doi.org/10.14403/jcms.2020.33.2.219
  3. Gradient Ricci-harmonic solitons on multiply warped products vol.18, pp.9, 2021, https://doi.org/10.1142/s0219887821501401