Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Displaying similar documents to “The minimum number of zeros of Lipschitz-Killing curvature.”
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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Lipschitz convergence of manifolds of positive Ricci curvature with large volume.
Takao Yamaguchi (1989)
Mathematische Annalen
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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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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.
Embedding and surrounding with positive mean curvature.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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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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Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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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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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...
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.