Differential Topology and the Computation of Total Absolute Curvature.
Eberhard Teufel (1981)
Mathematische Annalen
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Eberhard Teufel (1981)
Mathematische Annalen
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Corey Dunn, Zoë Smith (2021)
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We generalize a previous result concerning the geometric realizability of model spaces as curvature homogeneous spaces, and investigate applications of this approach. We find algebraic restrictions to realize a model space as a curvature homogeneous space up to any order, and study the implications of geometrically realizing a model space as a locally symmetric space. We also present algebraic restrictions to realize a curvature model as a homothety curvature homogeneous space up to...
Steven C. Ferry, Shmuel Weinberger (1991)
Inventiones mathematicae
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Brent Collins (2001)
Visual Mathematics
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Lohkamp, Joachim (1998)
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Reinhold Böhme (1990)
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K.D. Elworthy, Steven Rosenberg (1991)
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Wolfgang Kühnel (1979)
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Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Haesen, Stefan, Verpoort, Steven (2010)
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Iyigün, Esen (2002)
APPS. Applied Sciences
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Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen (2015)
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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...
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Colding, Tobias H. (1998)
Documenta Mathematica
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