{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T11:11:07Z","timestamp":1770894667449,"version":"3.50.1"},"reference-count":13,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T00:00:00Z","timestamp":1769731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002713","name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University","doi-asserted-by":"publisher","award":["IMSIU-DDRSP2602"],"award-info":[{"award-number":["IMSIU-DDRSP2602"]}],"id":[{"id":"10.13039\/501100002713","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The aim of this paper is to investigate the geometry of lightlike hypersurfaces in an (\u03b1,p)-silver semi-Riemannian manifold. Our work analyzes the behavior of the structures induced on a lightlike hypersurface by the (\u03b1,p)-silver semi-Riemannian framework. We define and introduce the geometry of invariant, anti-invariant, and screen semi-invariant lightlike hypersurfaces within an almost (\u03b1,p)-silver semi-Riemannian manifold. Furthermore, we develop results concerning parallelism and geodesicity of the associated distributions and illustrate these findings with suitable examples.<\/jats:p>","DOI":"10.3390\/axioms15020103","type":"journal-article","created":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T17:38:34Z","timestamp":1769794714000},"page":"103","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Geometry of Lightlike Hypersurfaces in a Class of Almost (\u03b1, p)-Metallic Semi-Riemannian Manifold"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-2039-7167","authenticated-orcid":false,"given":"Rajinder","family":"Kaur","sequence":"first","affiliation":[{"name":"Department of Mathematics, Punjabi University, Patiala 147002, Punjab, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2190-0174","authenticated-orcid":false,"given":"Vandana","family":"Gupta","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Patel Memorial National College, Rajpura 140401, Punjab, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4284-2842","authenticated-orcid":false,"given":"Jasleen","family":"Kaur","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Punjabi University, Patiala 147002, Punjab, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5901-2511","authenticated-orcid":false,"given":"Ibrahim","family":"Al-Dayel","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMISU), Riyadh 11564, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1016\/j.chaos.2008.04.007","article-title":"Golden differential geometry","volume":"38","author":"Crasmareanu","year":"2008","journal-title":"Chaos Solitons Fractals"},{"key":"ref_2","first-page":"813","article-title":"Lightlike hypersurfaces of almost Norden Golden semi-Riemannian manifolds","volume":"37","author":"Erdogan","year":"2022","journal-title":"Facta Univ. 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(2011). Differential Geometry of Lightlike Submanifolds, Springer Science and Business Media.","DOI":"10.1007\/978-3-0346-0251-8"},{"key":"ref_8","first-page":"279","article-title":"The metallic means family and forbidden symmetries","volume":"2","author":"Spinadel","year":"2002","journal-title":"Int. J. Math."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"199","DOI":"10.2996\/kmj\/1138846118","article-title":"Polynomial structures on manifolds","volume":"22","author":"Goldberg","year":"1970","journal-title":"Kodai Math. Sem. Rep."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"59","DOI":"10.36890\/iejg.584592","article-title":"A new structure on manifolds: Silver structure","volume":"9","author":"Ozkan","year":"2016","journal-title":"Int. Electron. J. Geom."},{"key":"ref_11","first-page":"159","article-title":"Distinguished connections on (J2 = \u00b11)-metric manifolds","volume":"52","author":"Etayo","year":"2016","journal-title":"Arch. Math."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Hretcanu, C.E., and Romaniuc, S.D. (2024). On the geometry of semi-invariant submanifolds in (\u03b1, p)-golden Riemannian manifolds. Mathematics, 12.","DOI":"10.3390\/math12233735"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"417","DOI":"10.37193\/CJM.2022.02.12","article-title":"Classification of pure metallic metric geometries","volume":"38","author":"Etayo","year":"2022","journal-title":"Carpathian J. 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