Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Generalized Ricci solitons on Riemannian manifolds admitting concurrent-recurrent vector field Subject The topic of the resource Conformal vector field; Generalized Ricci soliton; Gradient generalized Ricci soliton Description An account of the resource Let (M,g) be a Riemannian manifold admitting a concurrent-recurrent vector field ?. We prove that if the metric g is a generalized Ricci soliton such that the potential field V is a conformal vector field, then M is Einstein. Next we show that if the metric of M is a gradient generalized Ricci soliton, then either of these three occurs: (i) ?? is invariant along gradient of potential function; (ii) M is Einstein; (iii) the potential vector field is pointwise collinear to concurrent-recurrent vector field ?. Finally, we investigate gradient generalized Ricci soliton on a Riemannian manifold (M,g) admitting a unit parallel vector field, and in this case we show that if g is a non-steady gradient generalized Ricci soliton, then the Ricci tensor satisfies Ric=-??{g-?????}, where ?? is the canonical 1-form associated to ?. 2022, The Author(s), under exclusive licence to The Forum DAnalystes. Creator An entity primarily responsible for making the resource Naik D.M.; Kumara H.A.; Venkatesha V. Source A related resource from which the described resource is derived Journal of Analysis, Vol-30, No. 3, pp. 1023-1031. Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s41478-022-00387-0" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s41478-022-00387-0</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124079044&amp;doi=10.1007%2Fs41478-022-00387-0&amp;partnerID=40&amp;md5=c37ae39c4fdd359d90125c725a49dae4" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124079044&amp;doi=10.1007%2fs41478-022-00387-0&amp;partnerID=40&amp;md5=c37ae39c4fdd359d90125c725a49dae4</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 9713611 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Naik D.M., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India; Kumara H.A., Department of Mathematics, Kuvempu University, Karnataka, Shivamogga, 577451, India; Venkatesha V., Department of Mathematics, Kuvempu University, Karnataka, Shivamogga, 577451, India