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arXiv · 2510.02632

On the invariant surface area functionals in 3-dimensional CR geometry

Pak Tung Ho
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Abstract

Cheng, Yang, and Zhang have studied two invariant surface area functionals in 3-dimensional CR manifolds. They deduced the Euler-Lagrange equations of the associated energy functionals when the 3-dimensional CR manifold has constant Webster curvature and vanishing torsion. In this paper, we deduce the Euler-Lagrange equations of the energy functionals in a more general 3-dimensional CR manifold. Moreover, we study the invariant area functionals on the disk bundle, on the Rossi sphere, and on 3-dimensional tori.

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Pak Tung Ho. 2025-10-03. On the invariant surface area functionals in 3-dimensional CR geometry. https://arxiv.org/abs/2510.02632

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