{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:16:02Z","timestamp":1760058962533,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T00:00:00Z","timestamp":1746662400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Research and Graduate Studies at King Khalid University","award":["R.G.P.2\/03\/46","PNURSP2025R27"],"award-info":[{"award-number":["R.G.P.2\/03\/46","PNURSP2025R27"]}]},{"name":"Princess Nourah bint Abdulrahman University","award":["R.G.P.2\/03\/46","PNURSP2025R27"],"award-info":[{"award-number":["R.G.P.2\/03\/46","PNURSP2025R27"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper investigates totally real submanifolds in a locally conformal Kaehler space form. Using the moving-frame method and constant mean curvature, we obtain the upper and lower bounds of the first eigenvalue for totally real submanifolds in a locally conformal Kaehler space form. We discussed the integral inequalities and their properties. Some previous results are generalized from our results.<\/jats:p>","DOI":"10.3390\/axioms14050356","type":"journal-article","created":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T07:41:47Z","timestamp":1746690107000},"page":"356","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-0354-0515","authenticated-orcid":false,"given":"Noura M.","family":"Alhouiti","sequence":"first","affiliation":[{"name":"Department of Basic Sciences, University College of Haqel, University of Tabuk, Tabuk 71491, Saudi Arabia"}]},{"given":"Ali H.","family":"Alkhaldi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6053-3031","authenticated-orcid":false,"given":"Akram","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2116-7382","authenticated-orcid":false,"given":"Fatemah","family":"Mofarreh","sequence":"additional","affiliation":[{"name":"Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia"}]},{"given":"Piscoran","family":"Laurian-Ioan","sequence":"additional","affiliation":[{"name":"North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,8]]},"reference":[{"key":"ref_1","unstructured":"Babuska, I., and Osborn, J. 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