Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOLITON FUNCTIONS AND RICCI CURVATURES OF D-HOMOTHETICALLY DEFORMED f-KENMOTSU ALMOST RIEMANN SOLITONS

  • Urmila Biswas (Department of Mathematics University of Kalyani) ;
  • Avijit Sarkar (Department of Mathematics University of Kalyani)
  • Received : 2022.12.22
  • Accepted : 2023.03.16
  • Published : 2023.10.31
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Abstract

The present article contains the study of D-homothetically deformed f-Kenmotsu manifolds. Some fundamental results on the deformed spaces have been deduced. Some basic properties of the Riemannian metric as an inner product on both the original and deformed spaces have been established. Finally, applying the obtained results, soliton functions, Ricci curvatures and scalar curvatures of almost Riemann solitons with several kinds of potential vector fields on the deformed spaces have been characterized.

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Acknowledgement

The authors are thankful to the referee for his/her suggestions towards the improvement of the paper.

References

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