Three-Dimensional Graph Surfaces on Five-Dimensional Carnot–Carathéodory Spaces


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We study the class of codimension 2 graph surfaces over some three-dimensional Lie groups and establish some analogs of the differential properties of the corresponding graph mappings. Moreover, we derive the area formula and describe the classes of minimal surfaces of codimension 1 and 2.

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M. Karmanova

Sobolev Institute of Mathematics

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Email: maryka@math.nsc.ru
俄罗斯联邦, Novosibirsk

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