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arXiv · 0903.0176

External geometry of p-minimal surfaces

Vladimir G. Tkachev
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Abstract

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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Vladimir G. Tkachev. 2009-03-01. External geometry of p-minimal surfaces. https://doi.org/10.1515/9783110908961.363

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