{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T03:39:46Z","timestamp":1776397186324,"version":"3.51.2"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T00:00:00Z","timestamp":1753056000000},"content-version":"vor","delay-in-days":201,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>\n                    The present article intends to study the \u2217\u2010conformal\n                    <jats:italic>\u03b7<\/jats:italic>\n                    \u2010Ricci soliton on\n                    <jats:italic>n<\/jats:italic>\n                    \u2010LPK (\n                    <jats:italic>n<\/jats:italic>\n                    \u2010dimensional Lorentzian para\u2010Kenmotsu) manifolds with curvature constraints. On\n                    <jats:italic>n<\/jats:italic>\n                    \u2010LPK, we derive certain results of \u2217\u2010conformal\n                    <jats:italic>\u03b7<\/jats:italic>\n                    \u2010Ricci soliton satisfying the Codazzi\u2010type equation,\n                    <jats:italic>R<\/jats:italic>\n                    (\n                    <jats:italic>\u03be<\/jats:italic>\n                    ,\n                    <jats:italic>L<\/jats:italic>\n                    ) \u00b7\n                    <jats:italic>S<\/jats:italic>\n                    = 0, the projective flatness of the\n                    <jats:italic>n<\/jats:italic>\n                    \u2010LPK manifold. At last, we conclude with an\n                    <jats:italic>n<\/jats:italic>\n                    \u2010LPK manifold with conformal\n                    <jats:italic>\u03b7<\/jats:italic>\n                    \u2010Ricci solitons using a suitable example.\n                  <\/jats:p>","DOI":"10.1155\/jama\/6684661","type":"journal-article","created":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T12:49:15Z","timestamp":1753102155000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Lorentzian Para\u2010Kenmotsu Manifolds Within the Framework of \u2217\u2010Conformal\n                    <i>\u03b7<\/i>\n                    \u2010Ricci Soliton"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1834-6838","authenticated-orcid":false,"given":"Shyam","family":"Kishor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arun Kumar","family":"Bhardwaj","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7131-2664","authenticated-orcid":false,"given":"Naveen","family":"Mani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9835-0935","authenticated-orcid":false,"given":"Rahul","family":"Shukla","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,7,21]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/846195"},{"key":"e_1_2_11_2_2","first-page":"219","article-title":"On a Structure Similar to the Almost Contact Structure","volume":"30","author":"Sato I.","year":"1976","journal-title":"Tensor"},{"key":"e_1_2_11_3_2","volume-title":"Global Lorentzian Geometry","author":"Beem J. 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K. \u2217-Conformal\u03b7-Ricci Soliton on Sasakian Manifold 2019 https:\/\/arxiv.org\/abs\/1909.01318."},{"key":"e_1_2_11_21_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL2115001S"},{"key":"e_1_2_11_22_2","doi-asserted-by":"publisher","DOI":"10.1515\/ms-2017-0321"},{"key":"e_1_2_11_23_2","first-page":"185","article-title":"Some Results on Lorentzian Para-Kenmotsu Manifolds","volume":"13","author":"Haseeb A.","year":"2020","journal-title":"Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III"},{"key":"e_1_2_11_24_2","doi-asserted-by":"publisher","DOI":"10.5269\/bspm.40607"},{"key":"e_1_2_11_25_2","first-page":"949","article-title":"Some Notes on Kenmotsu Manifold","volume":"35","author":"Yolda\u015f H. \u0130.","year":"2020","journal-title":"Facta Universitatis, Series: Mathematics and Informatics"},{"key":"e_1_2_11_26_2","first-page":"1531","article-title":"A Note on the M- Projective Curvature Tensor","volume":"8","author":"Ojha R. 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