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http://dx.doi.org/10.4134/CKMS.c210336

RIEMANNIAN SUBMERSIONS WHOSE TOTAL SPACE IS ENDOWED WITH A TORSE-FORMING VECTOR FIELD  

Meric, Semsi Eken (Department of Mathematics Mersin University)
Kilic, Erol (Department of Mathematics Inonu University)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.4, 2022 , pp. 1199-1207 More about this Journal
Abstract
In the present paper, a Riemannian submersion 𝜋 between Riemannian manifolds such that the total space of 𝜋 endowed with a torse-forming vector field 𝜈 is studied. Some remarkable results of such a submersion whose total space is Ricci soliton are given. Moreover, some characterizations about any fiber of 𝜋 or the base manifold B to be an almost quasi-Einstein are obtained.
Keywords
Ricci soliton; Riemannian submersion; torse-forming vector field;
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