On some generalisations of constant mean curvature surfaces.
Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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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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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.
Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
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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.
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.
Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy (1988)
Rendiconti del Seminario Matematico della Università di Padova
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