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ALMOST HERMITIAN SUBMERSIONS WHOSE TOTAL MANIFOLDS ADMIT A RICCI SOLITON
( Yilmaz Gündüzalp ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
The object of the present paper is to study the almost Hermitian submersion from an almost Hermitian manifold admits a Ricci soliton. Where, we investigate any fibre of such a submersion is a Ricci soliton or Einstein. We also get necessary conditions for which the base manifold of an almost Hermitian submersion is a Ricci soliton or Einstein. Moreover, we obtain the harmonicity of an almost Hermitian submersion from a Ricci soliton to an almost Hermitian manifold.