Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A CLASSIFICATION OF WARPED PRODUCT MANIFOLDS WITH GRADIENT YAMABE SOLITONS

  • Choi, Jin Hyuk (Humanitas Kyung Hee University) ;
  • Kim, Byung Hak (Department of Applied Mathematics and Institute of Natural Sciences Kyung Hee University) ;
  • Lee, Sang Deok (Department of Mathematics Dankook University)
  • Received : 2018.12.24
  • Accepted : 2019.03.26
  • Published : 2020.01.31
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Abstract

In this paper, we study gradient Yamabe solitons in the warped product manifolds and classify the warped product manifolds with gradient Yamabe solitons. Moreover we investigate the admitness of gradient Yamabe solitons and geometric structures for some model spaces.

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References

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