### RICCI SOLITONS ON HOPH HYPERSURFACES IN SASAKIAN SPACE FORM

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#### Abstract

fM2n+1(c). The rst, we prove that Hoph hypersurfaces of a Sasakian space form

fM2n+1(c < 1) with two distinct principal curvatures is shrinking and for c 1,

Hoph hypersurfaces with two distinct principal curvatures of a Sasakian space form

fM2n+1(c) does not admit a Ricci soliton. We show that there is not any Hoph hyper-

surfaces with two distinct principal curvatures in a Sasakian space form fM2n+1(c)

with a -Ricci soliton (and Ricci soliton) such that potential vector eld is the Reeb

vector eld.

Then we prove that Hoph hypersurfaces in Sasakian space form fM2n+1(c) with

c = 1 does not admit a - Ricci soliton with potential vector eld U and we show

that Ricci soliton on Hoph hypersurfaces M in Sasakian space form fM2n+1(c <

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DOI: https://doi.org/10.22190/FUMI1703387N

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