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External geometry of p-minimal surfaces
Tkachev, Vladimir G....
External geometry of p-minimal surfaces by Tkachev, Vladimir G. ( Author )
Australian National University
01-03-2009
A surface M is called p-minimal if one of the coordinate functions is p-harmonic in the inner metric. We show that in the twodimensional case the Gaussian map of such surfaces is quasiconformal. In the case when the surface is a tube we study the geometrical structure of such surfaces. In particularly, we establish the second order differential inequality for the form of the sections of M which generalizes the known ones in the minimal surfaces theory.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/0903.0176
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