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 ON 3-DIMENSIONAL QUASI-PARA-SASAKIAN MANIFOLDS AND RICCI SOLITONS Subject The topic of the resource 3-dimensional quasi-para-Sasakian manifold; Einstein manifold; Gradient Ricci soliton; Ricci soliton Description An account of the resource The purpose of this paper is to study 3-dimensional quasi-para-Sasakian manifolds and Ricci solitons. First, we prove that a 3-dimensional non-paracosymplectic quasi-para-Sasakian manifold is an ?-Einstein manifold if and only if the structure function ? is constant. Further, it is shown that a Ricci soliton on a 3-dimensional quasi-para-Sasakian manifold with ?=constant is expanding. Moreover, we show that if a 3-dimensional quasi-para-Sasakian manifold admits a Ricci soliton, then the flow vector field V is Killing, and the quasi-para-Sasakian structure can be obtained by a homothetic deformation of a para-Sasakian structure. Besides, we study gradient Ricci solitons and prove that if a 3-dimensional non-paracosymplectic quasi-para-Sasakian manifold with ?=constant admits a gradient Ricci soliton, then the manifold is an Einstein one. Also, a suitable example of a 3-dimensional quasi-para-Sasakian manifold is constructed to verify our results. 2022 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved. Creator An entity primarily responsible for making the resource Prakasha D.G.; Veeresha P.; Venkatesha V.; Kumara H.A. Source A related resource from which the described resource is derived Transactions of A. Razmadze Mathematical Institute, Vol-176, No. 2, pp. 245-254. Publisher An entity responsible for making the resource available A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University 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="" target="_blank" rel="noreferrer noopener"></a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85139043971&amp;partnerID=40&amp;md5=b299e0ea4c65eadb82799fe21b63939d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85139043971&amp;partnerID=40&amp;md5=b299e0ea4c65eadb82799fe21b63939d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23468092 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 Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577 007, India; Veeresha P., Department of Mathematics, Christ (Deemed to be University), Bengaluru, 560 029, India; Venkatesha V., Department of Mathematics, Kuvempu University, Shivamogga, 577 451, India; Kumara H.A., Department of Mathematics, Kuvempu University, Shivamogga, 577 451, India, BMS Institute of Technology and Management Yelahanka, Bangalore, 560064, India