Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2023; 38(4): 1215-1231

Online first article October 18, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c220366

Copyright © The Korean Mathematical Society.

Soliton functions and Ricci curvatures of $D$-homothetically deformed $f$-Kenmotsu almost Riemann solitons

Urmila Biswas, Avijit Sarkar

Kalyani, Pin-741235, Nadia; Kalyani, Pin-741235, Nadia

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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.

Keywords: $f$-Kenmotsu manifolds, $D$-homothetically deformed $f$-Kenmotsu manifolds, almost Riemann solitons, gradient almost Riemann solitons

MSC numbers: Primary 53C15, 53D25

Supported by: Urmila Biswas is financially supported by UGC-JRF, Ref No 201610057626. Avijit Sarkar is supported by DST-FIST.

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