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Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan (2013)
Annales Polonici Mathematici
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We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and classify them in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature.
Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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Große-Brauckmann, Karsten, Polthier, Konrad (1997)
Experimental Mathematics
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Paolini, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Vladimír Fiřt (1974)
Aplikace matematiky
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Antonio Carlos Asperti, Dirk Ferus, Lucio Rodriguez (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
Süssmann, Bernd (1999)
Beiträge zur Algebra und Geometrie
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Bang-Yen Chen, Huei-Shyong Lue (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Dae Yoon (2010)
Open Mathematics
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In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.