{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T07:26:54Z","timestamp":1774510014329,"version":"3.50.1"},"reference-count":18,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T00:00:00Z","timestamp":1774224000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006407","name":"Natural Science Foundation of Henan","doi-asserted-by":"crossref","award":["242300420631"],"award-info":[{"award-number":["242300420631"]}],"id":[{"id":"10.13039\/501100006407","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100006407","name":"Natural Science Foundation of Henan","doi-asserted-by":"crossref","award":["262300420733"],"award-info":[{"award-number":["262300420733"]}],"id":[{"id":"10.13039\/501100006407","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Youth Science Foundation of Henan Institute of Technology","award":["KQ1906"],"award-info":[{"award-number":["KQ1906"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We study the properties of complete parabolic constant mean curvature spacelike hypersurfaces in generalized Robertson\u2013Walker (GRW) spacetimes I\u00d7\u03c6Pn whose warping function \u03c6 fulfills a certain convexity criterion such that \u2212\u03c6 is convex, and whose Ricci curvature of the fiber Pn is non-negative. Our approach is based on calculating the Laplacian of an appropriate function. Under appropriate conditions on the constant mean curvature, by using the parabolicity, we obtain a rigidity theorem and some corollaries of spacelike hypersurfaces. As a consequence, we solve new corresponding Calabi\u2013Bernstein-type problems.<\/jats:p>","DOI":"10.3390\/axioms15030241","type":"journal-article","created":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T16:40:20Z","timestamp":1774284020000},"page":"241","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Rigidity Theorem on Spacelike Hypersurfaces in Generalized Robertson\u2013Walker Spacetimes"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7061-0451","authenticated-orcid":false,"given":"Ning","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Science, Henan Institute of Technology, Xinxiang 453003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF02105675","article-title":"Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes","volume":"27","author":"Romero","year":"1995","journal-title":"Gen. 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