New constant mean curvature surfaces.
Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Marenich, V., Guadalupe, I.V. (1997)
Portugaliae Mathematica
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Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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Ulrich Dierkes (1986)
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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...
C.J. Costa (1991)
Inventiones mathematicae
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Nikolaos Kapouleas (1995)
Inventiones mathematicae
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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.
Luigi Ambrosio, Jérôme Bertrand (2016)
Analysis and Geometry in Metric Spaces
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In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Norbert Jakobowsky (1994)
Mathematische Zeitschrift
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Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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