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 Certain types of metrics on almost coKler manifolds Subject The topic of the resource Almost coKler manifold; Bach tensor; Cotton tensor; Critical point equation; ? -Ricci soliton Description An account of the resource In this paper, we study an almost coKler manifold admitting certain metrics such as ? -Ricci solitons, satisfying the critical point equation (CPE) or Bach flat. First, we consider a coKler 3-manifold (M,g) admitting a ? -Ricci soliton (g,X) and we show in this case that either M is locally flat or X is an infinitesimal contact transformation. Next, we study non-coKler (?, ?) -almost coKler metrics as CPE metrics and prove that such a g cannot be a solution of CPE with non-trivial function f. Finally, we prove that a (?, ?) -almost coKler manifold (M,g) is coKler if either M admits a divergence free Cotton tensor or the metric g is Bach flat. In contrast to this, we show by a suitable example that there are Bach flat almost coKler manifolds which are non-coKler. 2021, Fondation Carl-Herz and Springer Nature Switzerland AG. 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 Annales Mathematiques du Quebec, Vol-47, No. 2, pp. 331-347. 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 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40316-021-00162-w" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40316-021-00162-w</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104819324&amp;doi=10.1007%2Fs40316-021-00162-w&amp;partnerID=40&amp;md5=7ef2605f9d3dde4ebce574418434421a" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104819324&amp;doi=10.1007%2fs40316-021-00162-w&amp;partnerID=40&amp;md5=7ef2605f9d3dde4ebce574418434421a</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 21954755 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, Kuvempu University, Karnataka, Shivamogga, India, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Venkatesha V., Department of Mathematics, Kuvempu University, Karnataka, Shivamogga, India; Kumara H.A., Department of Mathematics, Kuvempu University, Karnataka, Shivamogga, India