On invariants of constant p-mean curvature surfaces in the Heisenberg group H_1
arxiv(2023)
Abstract
A fundamental goal of geometry of submanifolds is to find fascinating and
significant classical examples. In this paper, depending on the theory we
established in [5], along with the approach we provided for constructing
constant $p$-mean curvature surfaces, we found some interesting examples of
constant $p$-mean curvature surfaces. In particular, we give a complete
description for rotationally invariant surfaces of constant $p$-mean curvature,
including the geometric meaning of the energy $E$ (1.6}.
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