Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RIEMANNIAN SUBMERSIONS WHOSE TOTAL MANIFOLD ADMITS h-ALMOST RICCI-YAMABE SOLITON

  • Mehraj Ahmad Lone (Department of Mathematics National Institute of Technology Srinagar) ;
  • Towseef Ali Wani (Department of Mathematics National Institute of Technology Srinagar)
  • Received : 2023.08.04
  • Accepted : 2023.11.03
  • Published : 2024.04.30
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Abstract

In this paper, we study Riemannian submersions whose total manifold admits h-almost Ricci-Yamabe soliton. We characterize the fibers of the submersion and see under what conditions the fibers form h-almost Ricci-Yamabe soliton. Moreover, we find the necessary condition for the base manifold to be an h-almost Ricci-Yamabe soliton and Einstein manifold. Later, we compute scalar curvature of the total manifold and using this we find the necessary condition for h-almost Yamabe solition to be shrinking, expanding and steady. At the end, we give a non-trivial example.

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References

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