Compact constant mean curvature surfaces with low genus.
Große-Brauckmann, Karsten, Polthier, Konrad (1997)
Experimental Mathematics
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Große-Brauckmann, Karsten, Polthier, Konrad (1997)
Experimental Mathematics
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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.
Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
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Karsten Große-Braukmann (1993)
Mathematische Zeitschrift
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Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Ulrich Dierkes (1986)
Manuscripta mathematica
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Hongyou Wu (2001)
Mathematica Bohemica
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We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.
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.
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.
Bang-Yen Chen (1980)
Monatshefte für Mathematik
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