Constant mean curvature surfaces in -space forms
Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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Rainer Walden (1982)
Colloquium Mathematicae
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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.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
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.
Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Al-Gwaiz, M.A., Deshmukh, Sharief (1992)
International Journal of Mathematics and Mathematical Sciences
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Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Bang-Yen Chen (2009)
Open Mathematics
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Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector...
Irwen Valle Guadalupe (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Lohkamp, Joachim (1998)
Documenta Mathematica
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Wolfgang Kühnel (1979)
Colloquium Mathematicae
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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