A note on Euclidean spheres.
Deshmukh, Sharief (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Characterizations of the sphere by the curvature of the second fundamental form”
A note on Euclidean spheres.
Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
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The mean curvature of the second fundamental form of a hypersurface.
Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Non-degenerate quadric surfaces of Weingarten type
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.
A lower bound for the i-th total absolute curvature of an immersion
Wolfgang Kühnel (1979)
Colloquium Mathematicae
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A note on -curvature planes.
Iyigün, Esen (2002)
APPS. Applied Sciences
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Constant Mean Curvature Tori with spherical curvature lines in noneuclidean geometry.
Rolf Walter (1989)
Manuscripta mathematica
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Slant surfaces with prescribed Gaussian curvature.
Chen, Bang-Yen, Vrancken, Luc (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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A diameter sphere theorem for mainfolds of positive Ricci curvature.
G. Perelman (1995)
Mathematische Zeitschrift
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Counterexample to the convexity of level sets of solutions to the mean curvature equation
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.
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.
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...
Curvature Concentrations on the HIV-1 Capsid
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...