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.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Thomas Hasanis (1982)
Colloquium Mathematicae
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Brent Collins (2001)
Visual Mathematics
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Iyigün, Esen (2002)
APPS. Applied Sciences
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Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
Katsuhiro Shiohama (1979)
Inventiones mathematicae
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Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen (2015)
Molecular Based Mathematical Biology
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It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce...
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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Giuseppe Pipoli (2017)
Complex Manifolds
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In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influences the behaviour of the evolution. Moreover we try, when possible, to give an unified approach to the results present in literature.
Wolfgang Kühnel (1979)
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.