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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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.
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.
Weiyong He (2014)
Complex Manifolds
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We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment...
Große-Brauckmann, Karsten, Polthier, Konrad (1997)
Experimental Mathematics
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Lohkamp, Joachim (1998)
Documenta Mathematica
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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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Ulrich Dierkes (1986)
Manuscripta mathematica
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Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
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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.
Nikolaos Kapouleas (1995)
Inventiones mathematicae
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Marenich, V., Guadalupe, I.V. (1997)
Portugaliae Mathematica
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