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

Meric, Emsi EkenKilic, Erol2024-08-042024-08-0420221225-17632234-3024https://doi.org/10.4134/CKMS.c210336https://hdl.handle.net/11616/100987In the present paper, a Riemannian submersion pi between Riemannian manifolds such that the total space of pi endowed with a torse-forming vector field nu is studied. Some remarkable results of such a submersion whose total space is Ricci soliton are given. Moreover, some characterizations about any fiber of pi or the base manifold B to be an almost quasi-Einstein are obtained.eninfo:eu-repo/semantics/closedAccessRicci solitonRiemannian submersiontorse-forming vector fieldRIEMANNIAN SUBMERSIONS WHOSE TOTAL SPACE IS ENDOWED WITH A TORSE-FORMING VECTOR FIELDArticle3741199120710.4134/CKMS.c2103362-s2.0-85141749616Q3WOS:000911170000016N/A