Bounded Harmonic Functions and Positive Ricci Curvature.
Harold Donnelly (1986)
Mathematische Zeitschrift
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Harold Donnelly (1986)
Mathematische Zeitschrift
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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...
H.B., Jr Lawson, M.-L. Michelsohn (1984)
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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.