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 soliton and paracontact geometry Subject The topic of the resource Generalized Ricci soliton; K-Paracontact manifold; Paracontact metric manifold; ParaSasakian manifold Description An account of the resource In the present paper, we study generalized Ricci soliton in the framework of paracontact metric manifolds. First, we prove that if the metric of a paracontact metric manifold M with Q?= ?Q is a generalized Ricci soliton (g,X) and if X? 0 is pointwise collinear to ?, then M is K-paracontact and ?-Einstein. Next, we consider closed generalized Ricci soliton on K-paracontact manifold and prove that it is Einstein provided ?(?+ 2 n?) ? 1. Next, we study K-paracontact metric as gradient generalized almost Ricci soliton and in this case we prove that (i) the scalar curvature r is constant and is equal to - 2 n(2 n+ 1) ; (ii) the squared norm of Ricci operator is constant and is equal to 4 n2(2 n+ 1) , provided ??? - 1. 2021, Instituto de Matemica e Estattica da Universidade de S Paulo. Creator An entity primarily responsible for making the resource Naik D.M.; Venkatesha V.; Kumara H.A. Source A related resource from which the described resource is derived Sao Paulo Journal of Mathematical Sciences, Vol-15, No. 2, pp. 916-927. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40863-021-00260-1" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40863-021-00260-1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112061697&amp;doi=10.1007%2Fs40863-021-00260-1&amp;partnerID=40&amp;md5=03ab1788a60faffcd5c901e76e419533" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112061697&amp;doi=10.1007%2fs40863-021-00260-1&amp;partnerID=40&amp;md5=03ab1788a60faffcd5c901e76e419533</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 19826907 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, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Venkatesha V., Department of Mathematics, Kuvempu University, Shankaraghatta, 577-451, Karnataka, India; Kumara H.A., Department of Mathematics, Kuvempu University, Shankaraghatta, 577-451, Karnataka, India