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http://dx.doi.org/10.5831/HMJ.2020.42.4.733

ALMOST HERMITIAN SUBMERSIONS WHOSE TOTAL MANIFOLDS ADMIT A RICCI SOLITON  

Gunduzalp, Yilmaz (Mathematics Education, Faculty of Education, Dicle University)
Publication Information
Honam Mathematical Journal / v.42, no.4, 2020 , pp. 733-745 More about this Journal
Abstract
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.
Keywords
Almost Hermitian manifold; Riemannian submersion; almost Hermitian submersion; Ricci soliton;
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Times Cited By KSCI : 2  (Citation Analysis)
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