Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
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Displaying similar documents to “Curvature of lift spaces”
Geometries of Curvature and Their Aesthetics
Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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A note on -curvature planes.
Iyigün, Esen (2002)
APPS. Applied Sciences
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Brackets and curvature. (Corchete y curvatura.)
Di Scala, Antonio J. (2005)
Revista Colombiana de Matemáticas
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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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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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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...
Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
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...
Embedding and surrounding with positive mean curvature.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones 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.
Unit tangent sphere bundles with constant scalar curvature
Eric Boeckx, Lieven Vanhecke (2001)
Czechoslovak Mathematical Journal
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As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.