TRANSLATION HYPERSURFACES AND TZITZEICA TRANSLATION HYPERSURFACES OF THE EUCLIDEAN SPACE

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dc.contributor.authorAydin, Muhittin Evren
dc.contributor.authorMihai, Adela
dc.date.accessioned2026-08-12T17:25:44Z
dc.date.issued2015
dc.departmentFırat Üniversitesi
dc.description.abstractThe determinants of bordered Hessian matrices (also called Allen's matrices) play important roles in many areas of mathematics and economics. In the present paper, we completely classify the translation hypersurfaces (M-1, f) whose Allen's matrices off are singular in the Euclidean (n+1)-space Rn+1. Also, we obtain that the translation hypersurfaces satisfying the Tzitzeica condition are only hyperplanes in Rn+1. An application of such hypersurfaces to production functions in microeconomics is given.
dc.description.sponsorshipDAAD Fellowship [A/14/02337]
dc.description.sponsorshipThe second author was granted with the Gheorghe Tzitzeica Prize of the Romanian Academy in 2014 for the group of papers Curvature Properties of Complex and Real Metric Manifolds. Applications, published in 2012. She would like to thank the Romanian Academy for this honor and in particular to Acad. Prof. Dr. Radu Miron, her Ph. D. supervisor, for his continuous encouragement. Her work at this paper was supported by the DAAD Fellowship for University Professors and Researchers A/14/02337 at Technical University Berlin, December 2014-January 2015. She thanks Professor Udo Simon for being her host Professor and his kind hospitality.
dc.identifier.endpage483
dc.identifier.issn1454-9069
dc.identifier.issue4
dc.identifier.startpage477
dc.identifier.urihttps://hdl.handle.net/11508/54499
dc.identifier.volume16
dc.identifier.wosWOS:000367500300001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEditura Acad Romane
dc.relation.ispartofProceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectAllen's matrix
dc.subjecttranslation hypersurface
dc.subjectTzitzeica hypersurface
dc.subjectproduction function
dc.subjectCobb-Douglas production function
dc.subjectperfect substitute
dc.titleTRANSLATION HYPERSURFACES AND TZITZEICA TRANSLATION HYPERSURFACES OF THE EUCLIDEAN SPACE
dc.typeArticle

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