Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Displaying similar documents to “Curvature Concentrations on the HIV-1 Capsid”
Curvature contents of geometric spaces.
Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
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A note on -curvature planes.
Iyigün, Esen (2002)
APPS. Applied Sciences
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Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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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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A lower bound for the i-th total absolute curvature of an immersion
Wolfgang Kühnel (1979)
Colloquium Mathematicae
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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...
Embedding and surrounding with positive mean curvature.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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Local Changes in Lipid Composition to Match Membrane Curvature
Rolf J. Ryham (2016)
Molecular Based Mathematical Biology
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A continuum mechanical model based on the Helfrich Hamiltonian is devised to investigate the coupling between lipid composition and membrane curvature. Each monolayer in the bilayer is modeled as a freely deformable surface with a director field for lipid orientation. A scalar field for the mole fraction of two lipid types accounts for local changes in composition. It allows lipids to access monolayer regions favorable to their intrinsic curvature at the expense of increasing entropic...
On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Characterizations of the sphere by the curvature of the second fundamental form
Thomas Hasanis (1982)
Colloquium Mathematicae
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On Tori with Parallel Mean Curvature Vector in a Space of Constant Curvature.
Katsuei Kenmotsu (1974)
Mathematische Annalen
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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.
Alexandrov spaces with nonnegative curvature outside a compact set.
Liang-Khoon Koh (1997)
Manuscripta mathematica
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